{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gaussian Mixture Models\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "    p({\\bf x}) &= \\sum_{{\\bf z}}p({\\bf z})p({\\bf x}|{\\bf z})\\\\\n",
    "               &= \\sum_{k}\\pi_k \\mathcal{N}({\\bf x}|{\\boldsymbol \\mu}_k, {\\boldsymbol \\Sigma}_k)\n",
    "\\end{align}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import make_biclusters\n",
    "from numpy.random import randn, seed\n",
    "from scipy.stats import multivariate_normal\n",
    "from matplotlib.colors import ListedColormap\n",
    "\n",
    "points_cmap = ListedColormap([\"Yellow\", \"Red\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = \"retina\"\n",
    "np.set_printoptions(precision=3, suppress=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The EM Algorithm\n",
    "Given a GMM, the goal is to maximize the likelilhood function w.r.t. the parameters\n",
    "\n",
    "1. Initialize the means $\\boldsymbol \\mu_k$, covariances $\\boldsymbol \\Sigma_k$ and mixing coefficients $\\pi_k$, and evaluate the initial value of the log likelihood\n",
    "\n",
    "2. **E Step**: Evaluate the responsibilites using the current parameter values\n",
    "$$\n",
    "    p(z_k=1|{\\bf x}) = \\gamma(z_{nk}) = \\frac{\\pi_k \\mathcal{N}({\\bf x}_n|\\boldsymbol \\mu_k, \\boldsymbol \\Sigma_k)}{\\sum_{j=1}^K\\pi_j \\mathcal{N}({\\bf x}_n|\\boldsymbol \\mu_j, \\boldsymbol \\Sigma_j)}\n",
    "$$\n",
    "\n",
    "3. **M Step**: Re-estimate the parameters using the current probabilities\n",
    "\n",
    "$$\n",
    "    \\boldsymbol\\mu_{k}^{\\text{new}} = \\frac{1}{N_k}\\sum_{n=1}^N \\gamma(z_{nk}) {\\bf x}_n\n",
    "$$\n",
    "\n",
    "$$\n",
    "    \\boldsymbol{\\Sigma}_k^{\\text{new}} = \\frac{1}{N_k}\\sum_{n=1}^N \\gamma(z_{nk}) ({\\bf x}_n - \\boldsymbol\\mu_{k}^{\\text{new}})({\\bf x}_n - \\boldsymbol\\mu_{k}^{\\text{new}})^T\n",
    "$$\n",
    "\n",
    "$$\n",
    "    \\pi_k^{\\text{new}} = \\frac{N_k}{N}\n",
    "$$\n",
    "\n",
    "Where $N_K = \\sum_{n=1}^N \\gamma(z_{nk})$\n",
    "\n",
    "4. Evaluate the log likelihood and check for convergence of either the parameters or the log likelihood. If convergence is not met return to step 2.\n",
    "\n",
    "$$\n",
    "    \\log p({\\bf X}|\\boldsymbol\\mu, \\boldsymbol\\Sigma, \\boldsymbol\\pi) = \\sum_{n=1}^N \\log\\left(\\sum_{k=1}^K\\pi_k \\mathcal{N}({\\bf x}_n|\\boldsymbol \\mu_k, \\boldsymbol \\Sigma_k)\\right)\n",
    "$$\n",
    "\n",
    "With\n",
    "\n",
    "* $\\mathcal{N}(x|\\mu, \\sigma^2) = (2\\pi)^{-M/2}|\\Sigma|^{-1/2}\\exp\\left(-\\frac{1}{2}(x-\\mu)^T\\Sigma^{-1}(x-\\mu)\\right)$\n",
    "\n",
    "---- \n",
    "\n",
    "**Note**:  \n",
    "* The covariance matrices can conviniently be initialized to the sample covariances of the clusters found by the K-means algorithm, and\n",
    "* the mixing coeffients can be set to the fractions of data points assigned to the respective clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1a15c9fad0>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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hhBADe2PMAtyoKEB6rfYEdJ5PJOfe6v1FqVbh8zsXsTU1DmVdzgF4M/4gHvIfgdej58LDyq7PYpKr+b2Rl6tVBo6EENNC5TqEEEKIgdlKLLBn/mbEuPn3Om5V8Bh8Mm31gOiPr1Cr8NSZnXgn8Vi3BL/98x+zb2Lh4Y+RocPDjaG48DhIigEDR3NLI0RDiOmgN/mEEEKIETiaW2HvvKdwvSIf29PicbU8D81KOWzNLDDLOwzrw2IQOIBaKL6VcAgnClO1jqtsacD6E1txcslLsDEzN3pci/1H4lxxBqc50zxDYCeRGikiQkwDJfmEEEKIkTAMg7Gufhjr6tffoeilrLkeO9Ov6jy+uKkWezKv48nISUaMqs0i/xF4+9ph1La26DxnQ9h4I0bUs6SqItyqLIRMpYCDxBIzvEP7ZR8DGRooySeEEEJMQEFDNbLrKqFmWbhb2iDc3t1kNuPuSr/K+RTf7WnxeCJiotF/DxYiMf5v/GL8+sJuncbP9YnATO8wo8bU1aHcZHx25wKSqoo6XRcLhHjIfwReGjkTAbbUQpUYFiX5hBBCSD9hWRYnC1OxJSUOl0qzOn0WZu+GjWExWBk8BmYcW3Ia2uUusekip74Kpc318LC0NUJEnS0NjEKzUo4/XNkPFcv2OG6uTwQ+mroaAqZv9kCwLIt/3jiOj5LPafy8fR/D6cI07JizidqoEoOiJJ8QQgjpByzL4s8Jh7AlNU7j52k1Zfj9lZ9wOO82vp65AVZiSR9H+ItGRSvPeTIAhk/yCxuqkVVXCRWrhquFDYY5emBt6DiMcfHFtrQr2Jd1A81K+YPxUzyCsT5sPOb6RPRZgg8AO9ITekzwO6qTt2DjyW9w/OEX+rQzERncKMknhBBC+sH7t071mOB3dLk0G8+c/RbbZz9m1ARVzapxrjgTR/Juo1rWBIlQjBFOnlgZPAZWYn4baPnO68mZonR8nXIZ57tstA22dcGGsBisCR2Hv8cuwRtjFqC4qRYKtQrOFlZw5tGBR19ylRL/uXVK5/E1rc34OuUy3hy30IhRkaGEknxCCCHkPpVajXPFGdieFo+b9zdI2kukmOsTgQ1hMQiyczHIfSqaG/CxDm94250rzsD54kxM9wo1yP27OlGQgrevHkZ+Q3Wn64fykvHujZMId3DjvGawrQvcpTYGiY9lWfz9+jF8eue8xs8z6yrwZsJBHMpLxtaZG2ErsUCwgX5WfB3Lv4vKlkZOc3ZnXsdr0XNgIRIbKSoylJh+Y15CCCGkDxQ2VGPewQ+w8dQ3OF2UhurWJjQr5ShuqsWW1DhM2/9vvB63HwoDHKL0XcZVzutsT4vX+76a7M1MxBOnt3dL8NvJ1UokVRWBz/bZ58/vxt7MRLQoFXrF+PHt8z0m+B1dLc/D5jM7oDSBg67Ol3Br6wm0le0kd9mcSwhf9CafEELIkFfaVIdlRz9HSVNdr+N2piegQSHDh1NW6lU6c6wghfOc00VpaFUpITHgJty790rwm8s/oOetqr/QZUxHmXUVyKyrwIHcJLx97TBeHDkDT0ZM6tZtR65Sol4ug7lIDEuRWbfPa2RNnMpe4spycKIgFQv8hnGM2LDq5TJe8xoU/OaZKplSgcN5ydibdQPFjbVgGAb+No5YHTIWs73DIRII+zvEQYuSfEIIIUPeH6/8pDXBb3cgJwkzvMKwLHAU7/tVy5o4z1GzLOrlLQatL/8q5RKUHFtj8lHb2oK3r/6M0qY6/GncIrAsi4slWdiWdgWnCtMetOcMtHXG+tDxWBE0GrYSCwDAnqxEtKqUnO63PS2+35N8vhulLftxg7WhnSxIwSuX9qGmtbnT9dz6KpwpSoenpR0+nb6GugoZCZXrEEIIGdIKG6pxUoeTXDvalnpFr3vyrbk2FxquVru2tRkHcpI5z5vhGQovnh1gvrh7CbszruPx09ux5sTXOF6Q0qn/fnZdJd66ehhTfnwPiRUFANpq27m6VJrF+026oUxwC+Q8x0oswXBHTyNE0/eO5t/BE2d2dEvwOypuqsWjR7988LMmhkVJPiGEkCFtT1Yi51KUG5UFyKgt533PkU5enOcE2jobtI1mek055Gpub8iBtlrzosZaAIBUJIYZx3KLt64e0vpQdU/WhDXHv8LdeyW9Jom9qeU5z1AW+Y+A3f1vI3S1LDC6X1ulGkpVSyNeOP891L2cWdBOplLgqbM7Ief4bQ3RjpJ8QgghQ1pPG061zqu/x/ueG8JiOM9ZHzreoKfHci2BadfxsKlmpQJyjptcde2536SU43dx+3l/e2HIbz34sBCJ8dzwaTqPtxJL8GTkROMF1Id2Z15Di0r3zdblzfU4yuMbG9I7SvIJIYQMaawObxs1ztPjntHOPhjn6qfzeEdzS6wIGq3HHbtzMJcadD1juFVVCG9re87zvKzs4GRhaYSIuHl22BSsCx2vdZyFUIwvZ6yDv41TH0RlfLvSr3Ge8216ghEiGdooySeEEDKkeVtxTyIB8K5LBwCGYfDZtLXws3bUOtZKLMHWWRsfbEQ1FBszc86lNv2BTzehdaExfXqybU8YhsE7sUvwTuwS+Gr4WTMAZniFYv/CZzDZI7jvAzSCVpUSBY3cvx3Lrqs0QjRDG3XXIYQQMqQtD4rGB8lnOc0Z5uCBcHt3ve7rIrXGgUXP4g9XDuBo/h2N9ctjXHzx99gliHDQ714dxZfl4NPbF3CmKE2vbyP6ilylwlSPYJwvydRpvK2ZBVaHjDFyVLpjGAbrw2KwNnQcLpRkIamyEDKVEvYSKeb4RMDPRvuD3kCi5tmtqS+6PA01lOQTQggZ0gJsnTHVMwTni3U/vGhjeKxB6uMdza3w+fS1KGmsxfdZ15FdVwWVWg13SxssC4xGpKOH3vfoaHtaPP545acBkdy3EzICfDh1FZYf/RwZtRW9jrUQivH1zPVwNLfqo+h0J2AEmOYZgmmeIf0dilGZC8WwNTNHHcfuRu5SWyNFNHRRkk8IIWTI+3vsYiw+/AmqdOhfP8s7DCuCog16fw8rO7wcNcuga3Z1LP8u/nDlJ6PewxgCbJ3gYG6JHxc8gz/GH8Dh3Nud2m62i3Lyxt9jF2MEj85FQ129XIYfs2/iZmXBg28Z5vpEYKpnMOeyJ4Zh8EhgNLamxnGatyyI/7kTRDNK8gkhhAx5vtaO2Df/aWw89U2v3XYe9h+Bf09aMeBO6WRZFu8kHuvvMCAWCKHg0I2HAbAquK30xk4ixcdTV+PNsQuxJ/M6MmsroFSr4Sq1xtLAUbzakg51CrUK/0g8jh1p8WhWyjt9tjM9Ab7WDnhj7ALM9+V2sNiGsBhOSb65UIzlBt5YTijJJ4QQQgAAQXYuOLP0FRzJu4Md6fG4WVkIhVoFa7EE83wjsSEsFlFOXgZtY9lX4kqz+31jo7OFNZ4fMRV/Tjis85w5PhHwtnbodM1NaoMXRs4wdHhDjkKtwpOnd+B0UVqPY/IbqrH5zE78c8IjWBs6Tue1g+1c8OLIGfhf0hmdxv9fzMOwl5h+t6eBhpJ8Qggh5D6JUISlgVFYGhgFlmWhZNUQD7C39pr0lsgZmlQkRrPylx7pzhZWWBMyDhvDYuEitUZhQw2+SrmsdR0fKwf8Y8JSY4Y6pP0r8YTOfy5+f2U/wh3cEO3so/P6r42aDTXL4sNeNrULGQb/F7MYq0PG6rwu0R0l+YQQQogGDMNAzAyMBL+suR5Xy3LRoGiFtViCGLcAuEitH3xeJ2/htS6Dtv8OupxcCgBO5lY498gryK2/hyZFK6zNzBFu7wazDm0w/zxuEazNzPFh0tkeO6pEO/vgixnr4GxhrfFzop9GRSu2p13RebyaZfHlnUv4dPoanecwDIPfjZ6LRX7DsS0tHvtzbqLl/sOfrZkFVgaPxvqwmEFzNoApoiSfEEIIMQKWZY1e2nO7qhgf3T6HY/l3O21GFTECLPAbhudHTEOEgwcsRGa81v9s+loAwLPndmlN9M0EInw+fS3sJFKMcu659IJhGLw6ajbWh8bgu4yrOJJ/B9WyZpiLxBjp5IUNYTEY6+I7IMuiBor92TfR1KUGX5uj+XdQ0dzQ6eFRF5GOHvjXxEfwt9jFqJE1Q8AwsJdIIRT0/zkGgx0l+YQQQogBtCjlOJCThJ3pV5FaUwqFWgVncys85D8CG8JiEGDrbND7Hcm7g1+d/07jRlYlq8bB3GQcL0jB59PXYpyLH75J1f3NLdD2oDDWxQ8uUmt8OX0dXrm0r8dvBFylNvhk6mqMd/PXeX0XqTVejJqJF6NmcoqL6O9WVSHnOUpWjbvVJXCRhvK6p1gg5PyAQPRDST4hhBCip5uVhXj89HZUtjR0ul7e0oCvUi7jq5TLeHbYVPx+zFyDnMSaWJHfY4LfUatKiafPfos98zbDydwKVbJGne8x33fYg6Rsrm8krnsG40BOEvZmJaK4qRYMGPjZOGJ18FjM843sVJJDTJtMqeQ3T6XQPoiYDPobSQghhOjhzr1irDr2pdbyh0/vnIdMpcD/xTys9z3fu3lS51aUrSolPkw+i2eGTcFfrx/RaY6IEeDpYZM7XbMQmWFVyFisok2SA569Ob9ONtQBZ2ChJJ8QQgjhiWVZvHhhj871zVtT4yAWCJFQnou0mjIo1Wq4WFhjSUAU1oWNg6+1o9Y1susqcbEki1OcpwvT8JdxDyGrrgK7M6/3OlbAMHh/8gpEOXtzugcZOOb7RHIu33KxsObUXYf0P9r1QAghhPAUV5aD9NpyTnO+uHsRSVVFaFUpoWLVKG2uw6d3zmPSvnfx/s2TYLVscD1blM45ThbA+ZJMvDtxGf48biFcpTYaxw1z8MCO2ZuwLJBOHx3MJrgHIojjHpHVIWOpJGuAoZ8WIYSQASWztgI70uKRVFUEmUoBB3NLzPcdhkcCR8FKLOnTWPZoeSvOBQvgP7dOQ6FW4fXR83ocV8uzHWadvAUMw2Bz5GQ8Fj4BJwpScKOiAM1KOewkUsz2CccoJ2/qajMEMAyDN8cuxKbT23Rqj+ptZY8nIib2QWTEkCjJJ4QQMiDUtDbj5Yt7cKqw+wE+F0uy8PfrR/Hb6Dl4vA+TkcLGGoOv+VHyOczxieixNMKSZztMaYd5YoEQC/2GY6HfcF5rmSqVWo0zRWm4VVUEmVIBe3Mp5vlEIsjOpb9DMzkzvcPw70kr8NqlfT2eVwC0HUq2c87jcDC37MPoiCFQkk8IIcTk1bW2YMXRL5BWU9bjmEZFK/6UcAj1chle6qO2jMZ6570t9UqPSf44V93bVHae56dHRH2vRSnHkfy7yK2vAsuycLe0xSK/4bDTsPmTZVlsSY3DF3cuoripttNn/0g8jonugXh99DyMon0GnSwPikaonSu+TLmEQ7nJnTZzu0ptsCZkLB4PnwB7SvAHJEryCSGEmLw/xh/oNcHv6L2bJzHW1Q8T3QONHBXgbeWAhPI8g697KDcZf49dAksN5UfRzt6IdHDH3epSndcb7eyDYY6ehgzRaJoVcrx/6xS+y7iKerms02dvJRzGkoCReH30PDhZWAEA1Kwav7n8A77PTOxxzcul2Vh+9HN8OWM9Znjx6/M+WA138sQHU1birXGLkFJdihalHPYSS4x09oJYMDBOfCaa0cZbQgghJq2suR6HcpM5zdmSctlI0XS2MmSMUdaVq1Uob27Q+BnDMPj1yBmc1vv1yOmGCMvo6uUyPHrsS3x+50K3BB9o69O+O/M6Fv/8CYob297Yf5x8vtcEv12rSomnz+xEdl2lweMeDBzMLTHJIwizfSIwxtWXEvxBgJJ8QgghJm1P5nWoeqkZ1uRkYSpKm+qMFNEvYlz9EWbvZvT7dLXIbzh+Gz1Hp7Fvjl2AWd7hRo7IMH59frdOp7HmN1Rj46lvUN/ags/uXNB5/RaVAl/evaRPiCYjqaoI7944gTfiD+Bv147iREEKlDqenUCGBirXIYQQYtJ0LdPpSM2yyK6rhLulrREi+gXDMPhgyqNYeuRzNClaDbaumUAE1/unzfbkhZEz4GVlj//eOo2c+qpunwfbuuDVUbOwyH+EweIypqSqIpwu6r6puidpNWX4R+Jx1HHsNvRj9k38ccx8WJuZcw3RJFwqycI7iceQVFXU6fqndwAPS1g44OoAACAASURBVFs8O2wqHguPHdJdktT3XwoY4nTpgYySfEIIISZN15Ndu5L30VvNCAcP7J23GY+f3o6y5nqDrPmw/wiN9fhdPRI4CksDonCpNAuXS7PRIG+FtZkEkz2CMcEtoM8SvRpZE37KSUJBYzVYloW3tQOWBIyEo7mVzmu8f/Mk5/seLbjDeU6zUo7ke8V9smfD0H7KuYUXL3wPVQ9tL0ua6vBmwkFk1VXgrzGLh1SiX95cj+8yrmFPZiKKmtq6XnlbOWBV8BisChkDZ4veH5oHI0ryCSGEmDQXC80HN2nj2of/pz7CyQuXlv0Gh/Nu49v0BKTWlEGuUsLZwhqL/EbgcF5yt64vvdkYHqvzWIZhMNkjGJM9gvmErpcaWRP+ev0I9mcnQa5Wdvrsr9eO4GH/EXhz7MIHm2R7ciAnCWd4HPJV2dLIeQ4Ag37roklVSyN2Z17D0fy7qJE1w1wkwkgnL6wPi+F9FkFSVRFeurCnxwS/o21p8fC3ccKTkZP4hD/g7M64ht9f+anbC4H8hnv4543j+M+t0/jXxEewPCi6nyLsH5TkE0IIMWlLAkZiW9oVTnOCbV0Q4eBupIg0MxeJsTwoWmMisch/OFYc/QIylULrOi+MmD4gWj2WN9djxdEvNJYKAW3fwPyQfRPXKwqwd/5T8OihdOp6eT5evPC9MUPtxkaHUp32hJHLBlSWZfHfpNP4IOlst4Qzo7YCe7NuYLyrPz6bvobzm+VPb5/vtZ+9pvEbw2MH/Qba7zOv47XLP/Q6Rq5W4qWLe8AwzJA6zZmSfEIIISZtjIsvwu3dkMqhNn992HiTKlUY5eyN3XOfxJNntqNK1qRxDAPglVGz8NLIvunxrw81q8YTp3f0mOB3lN9wD5tOfYMjD/0aQkH3Gun/JZ3hlLx2xKDtpGAu7CQWGOmk+SGqrLkeu9Kv4vvM6w++eXGV2uDRoNFYFzoenlZ2va79l2s/a93Ym1Cei0eOfI4DC5/t8YAplmVxo7IQZ4vT0SCXASyLo/ncSpPKWxpwvCAFiwbZgWcdVTQ34PW4/TqP/93lHzHDM2TI9P2nJJ8QQohJYxgG78QuxaPHvuxWEqLJaGcfrAkZ1weRcTPG1RdXVvwOB3KSsDP9KjJqy6FQq+BiYY0lAVFYFzoO3tYO/R2mTi6WZOnUBafd3epSnClKw2yfiE7X8xvu4Vwx9zKddpPcg5BRV4FyDnshVgWPhYVI3O36nszr+F3c/m5v4Mub6/Fh8ll8cvsc3hr3EDZFTNC47unCNJ079+TWV+GxU9/gndiliHBw7/RAerowDe/eOIE71SU6/556klCWO6iT/O8yrnLasyNTKfB9ZiKeGT7FiFGZDkryCSGEmLwxrr7YMmsDnj6zE01KeY/jxrn64euZG2CuIYkzBRYiM6wKGYtVIWP7OxS9bE+L5zxnW1p8tyT/Ukk25zfxHW2KmIB7sib8Rku5RjtHc0s8ETGx2/V9WYl45dK+XueqWBZvJhwEwzB4TMOeCa5nM9yoLMTcgx9guKMnNoXHYnlQNL7LuI7X437U679JR829/F0ZDPZk3eAx5zol+YQQQogpmeYZgnOPvIqd6QnYlXG106bLca5+2BAWg4V+wwd9DbIp4HPKb0J5brdrjYruB17pKtrZBzO9wiAUCFDWXIf3b57qdbyDRIrtszd1a6taI2vC63E/6XzftxIOYY5PRKc9BoUN1ThfksntN3Df7XvFeOXSPvyQfRNxpfo99HRlO0DbhOqCZVkUNdZwnlfIY85ARUk+IYQQk9Qgl+HnvNsobKwBwzDws3bAfN9h+E30HLwcNROlTXWQqZSwl0i1dm8hhtXMoztNi1IBlmU7labo0iZUE2cLK2yZueFBjf/LUbMQYe+Oz+9exNUuDyDmQjGWBIzECyNnwEdDOdT3mYk6bYhup2TV2JVxFa+Nmv3gWrYOexO0uVyarfcaXc0cIIeg8cVn1w3Da9bAREk+IYQQk1Lb2ox/3TiBfVk3upUbvBl/ECuDx+C16DkDpn59sLlzr5jXpmYbM/Nu8ya48etV//HU1d0e7Ob6RmKubyRSq8twq6oQMqUCDuaWmOoZDDuJtMe19mYlcr7/3szETkm+Ss1v47AxBdk6Y4JbQH+HYTQMw8DH2kGnzd8daXrQG6woySeEEGIyKpobsPLYl8isq9D4eYOiFV+lXMaVshzsnrcZ9r0kb8TwDuQk4cWL30PJI6m1NbNAVm0FguxcHlwLsHXCFI9gXOBQ6jLSyQsTejnIKtzBDeEObjqvx+X8gnYlTXVQqdUPvklwt+R3loMx/W70XJPqMGUMK4PH4J3EY5zmrAoeY6RoTM/QPu+XEEKIyVCp1dh0eluPCX5Hd6tL8fSZnWB1OBiIGMalkiy8cGE3rwQfaKuFXnT4Y8R1KUt5YeR0CDkkoy+NnMHr/j3hVfLBtP3TLtzeHWH2uj9YGJutmTkCbJz7OwyjWxUyBuZC3TfZS0VmQ+pALJNI8hmGWc4wzIcMw1xkGKaeYRiWYZidPNfyYhhmC8MwJQzDtDIMk8cwzH8ZhrE3dNyEEEIM52xxOpKqinQeH1eW063+mhgHy7L467UjOp222ptGRSseP70d2XWVD67FuAXg/UnLdUr03x7/ULcOPfqQq5S9lvL0xMfKAQLmlxSKYRhsDIsxWFz6qpPLsObE1yhtquvvUIzK0dwK701aptNYBsB/Jq/g9fMeqEylXOcNACMBNAIoAhDGZxGGYQIBxAFwAXAAQBqAcQBeBDCPYZiJLMveM0jEhBBCDIpfW8YrGO/mb4Rohg65SomLJVkobaqDQMAg0MYZ41z9OpV63KwqNEjfdqAt0f84+Rz+PXnFg2vLg0bD3dIO/7l1CvFl3bvwjHL2xksjZ2KmN6/0QKPj+Xfx+pX9nbo06UpTC9SVwWNwKDcZcWU5hghPb+XN9fgo+Rz+Fru4v0MxqiUBUWDA4LXL+9Ci1LyBWioyw38mr8BCHc4MqG1txt6sRBzOvY0qWRMkQiEiHDywPnR8t78Xps5UkvyX0ZbcZwGYCuAsz3U+QVuC/wLLsh+2X2QY5t/37/E3AM/oFyohhBBj4NNdJK7UNBKqgahR0YpPb5/v1o4UaNu0uSl8AtaFjodQIMCJghSD3vtAbhLeHLug08mjE90DMdE9EOk15bhQkoF6uQxWYgkmuAViuJOnYe+fk4Tnz3/Hq12luVCM1SHd67rNhCJsmbURT5/9FueLM/QP0gB+yL6BP4yZx7uL0UCxOGAkpngGY19WInZnXH/QWtPH2gGrQsZieWA0bCUWva7Bsiy+TrmMfyQe79ZtKaO2Aj/l3MJIJy98MX2d1pOPTYVJJPksyz5I6vk+ITEMEwBgDoA8AB93+fjPAJ4CsJ5hmFdZltV8pjghhJB+oVSr0KrSfpptV408WjkSoKqlEWtOfI2U6lKNn2fVVeKP8QdwuTQbH09bjRpZs0Hv36pS4nJZjsbTWEPtXRFq72rQ+3VU2FCNly7u4d2P/t+TlsPRXHPLViuxBDtmP4azRRnYlnYFZ4vSDdr3nqtGRSvOF2digd+wfoyib9hLpNgcORmbIyfzmv9B0hm8e/Nkr2OSqoqw5OdPcWDRc53OSTBVJlGTbyDtO3FOsCzbaVcQy7INAC4DkAIwnaI5QgghAACRQAgLHqfU2gziw36MRalWYdPpbT0m+B0dyb+DP8UfNMoJwvXyFoOvqYsd6QlQqFWc51mKzPDZtDV4OGBkr+MEjAAzvcOwffYmJK/+EyQC3d+nihgBJIxhD3OrltF7TW2uledpTfDblTbX4dVLe40ckWGYxJt8Awm9/789fUeWibY3/SEATmtbjGGYnhrnGq4gkBBCyANTPUJwrOAupzlTPIKNFM3gdbwgBTcrC3UevzM9AW+Nf8jgcViK+r6ERKlWYXfGdc7zRjh6Yve8zZwfKosaa9Cq1v0bKiWrxotRs5BVX4kjeXd4PYx0JRHqlurJlAoczkvGD9k3UdZUDwHDIMDWGRH2bjAXiaFiWXha2mGOT/igK//ZmhrHafzFkixk1JYjxM543zgZwmBK8tu/N+lpK3n79YFRSEUIIUPMhrAYzkn+xvBYI0UzeHHd4MwCKGmshZO5Fapk3DepaiJgGIxx8dV7HZZlcfteMcqa6yFkBAi0dYafjWOP4ytbGlHdyv3NtpJV8/rWaHs6983kJwpTcPThF1A5rgGXS7NRL5fBUixBfWsL3kw4yHm9YY7a9zMczb+D317+ETWtncuy0mvLcTT/Tqdr1mIJlgeNxiujZg2KcypqZE04kndH+8AudqVfNcrDryENpiRfm/Zif53K41iWHa1xkbY3/EOnySohhPSRSR6BiHULwBUdu5PM9g5HlJOXkaMaXGRKBa8NzudLMvFk5CT8g+PBQz2Z5RWm1+bFVpUSu9KvYntafLdzFSa5B+HxiAmYo6HVppLnm3GFit88Pi1eb98rwf9uncaG8FgsCYh6cF2uUuKD5DOcugGNdfHVejAY103IDYpWbE2Nw/niDOyet3lA1Kb3Jq+hGkqW+9kPWR3awJqqwVST3/6mvqc/bTZdxhFCCDEhAkaAL2asw0gdEvdxrn74cOqqAdXOrr/Vy2Xd3srqqq61Bc8Nn4KlHZJOvoQMg+eGT+M9v14uw5rjX+HNhIMaD067VJqFx09vx1sJh7odluZobgUhwz31cZXyO9G2iefG8HdvnsS0H9/HjcqCB9fMhCI8Hj6R0zpPDet9E2pJYy1evriX1+bgnPoqPHbqG8h5bJg3JWoeCT4AqHjO60uDKclPv/+/IT183l64aRp9rQghhHRjL5Fi77yn8MKI6XDs0F6xnauFNV4dNQu75jwBq0FWF2wsefX38Hrcfoz5/u/49YXvea1hJZZAwAjwvymP4jejZsNOSzvCnggYBu9NXI4xrvxKdVRqNZ46sxMJOrwh/yrlMv6b1HkLnlRshjk+4Zzvu0TLZtue2Jrx++8EAPdkTVhz/Guk1ZQ9uPbc8Kk69XoHgF+PmI75vr131dmZngA5hz0DXaVUl+JYPrcSO1PjJuX3TYQbzwe/vjSYynXa23DOYRhG0LHDDsMw1gAmAmgBwL1AjhBCSJ+Ris3w29Fz8WLUTJwtSn/Q89rX2gHTvEIhFhi2+8hgdrU8DxtPfoMGhUyvddoPHBMwArwYNRNPDZuCw7nJuFaRj2alHLZmFpjlHYaixlp8evs8Chqru60x0skLv42eg6mePb2L0+5UYSoulWbpPP6DpLNYHxoDJ4tfWl5y6XYDtHVwWswzyZ/pHYb02nJec4G2Fphvxh/E3vlPAQCEAgE+nroKvtYO2Joap/HwJ3uJFK9EzcJjWvarqFk1vsu8xju2dtvSrmjtOGTKPK3sMN7VT6cHx46WBZp+5faAS/IZhhEDCASgYFn2QWEhy7LZDMOcQFsHnV8B+LDDtLcBWAL4nHrkE0LIwCARijDPN7K/wxiwcuoqDZLgA8CGsPGdfm0hEmNF8GisCO6+fW1t6FicK87E1fJcNCvksJFYYJZXGKKcvfWOg+umYYVahd2Z1/H8iGkAgB+yb+Kn3CROa/w1ZjEsRGac5rRbFzoen94+r1ev/CtlOZ06uYgEQvxhzHw8P2I69mUlIqE8D02KVtiaWWCGdxgW+g7TqeVpbWsLr9N+u0ooz0OrSqlzFx9TtCEsllOSH2jrjInugcYLyEBM4ifCMMwSAEvu/7J9h0gswzDf3P/3KpZlX7v/754AUgHkA/DrstRzAOIAfMAwzMz748YDmI62Mp0/GiN+QgghxNT8L+mMQRL82d7hiHDw0Hm8gBFghlcoZniFah/MQbNCjvMlmZznHS+4i+dHTAPLsvgo6az2CR34WzvikcBRnO/ZzsfaARvCYrCN48NJV/uzb+F3o+d2umZjZo7HIybi8QhudfrtlGrD1ZQ3KVoHdJK/yG84DuTcwonCVK1jxQIh3p24bEDsBzKVn0gUgI1drgXc/wdoS+hfgxb33+aPAfAXAPMALABQCuADAG+zLNv9+0NCCCGkn2XWViC7rhIqVg0PSztEOXnplURUy5pwMDdZ77hGOnnhgykr9V7HEGp5Hp5Vff+03itlORo36vYmt+EeUqvLtHao6c2fxi3E4bzbuKfHoVTlzfW85/bETmIBM4FIr5r8drr2zVeqVUgoz0NFcwPEAgFC7d0QbOei9/31JRQI8PG0NXjhwm4c7WWPgZVYgs+nr8U4V7++C04PJpHksyz7FoC3dBybh1/aYWr6vBDAJkPERQghhBgLy7I4lJuMLalxuF6R3+mzQFtnrA8dj/VhMbzekJ4vztTrICUrsQQrg8fgd9FzIRXzK1UxNAueb4pFAgG+uHOR8xkM7a5X5OmV5MeV5uiV4ANtJTqGZiYU4SH/4fgh+6Ze64xz9dP6Z7RR0Yqv7l7CzvQElHV5YBnv6ocnIiZhgV/vm4SNzUIkxhfT1+FiSRa2p8XjZGHqgw46npZ2WBc6HqtCxsDZwrpf4+TCJJJ8QgghZChRqdX4XdyP2J2p+fTV7LpKvHX1MI7m38U3szbCmuNBTLVdDjXSlUTQtg/izbEL4GZi/c/tJFL4Wjsiv+Eep3nZdZX4y7Wfed+3WSnnPRfgvo9Ak2A7Z73X0GRDWKzeSf6GsJheP69obsDaE18jtUOXoI4SyvOQUJ6HJyMm4s/jFvVrGQzDMJjiGYwpnsGQKRWoaW2GuVAEO4l0QJTndDWYWmgSQgghA8I7icd6TPA7SijPxdNnv+Xcy9tCh42XmrSqlTiQm4TFP3+KDD26wnBR0liLa+V5uF6e32tZCsMw3TYA9wV92mCqWTXOFqVrH9gLM4HIaJ1cRrv4YKOWJL03oXauvbbpbFUp8dipb3pM8Dv6KuUyPkzmtmfCmMxFYrhb2sLe3HJAJvgAvcknhBBC+lRJUx2+uHtR5/EXSjJxrjiT00bW0S78+tC3K26qxcpjX+Hwol/pdTJtT1iWxbGCu9iWGt+pJSYDYIZXGDZFTMBUj+BuydWjwWPwcfI5VPP8poIrISPAND02EDcrFbxOU+1oaWAUHDScGWEofxn/MFhw/8bB19oR22dv6rVU50DOLSTfK9Z5zQ+SzmJDWAzsJFJOsRDN6E0+IYQQ0oe+TU+AmuXWVHF72hVO44PtXBDrFqB9YC8qWxrwj8Rjeq2hiUKtwgsXvsfmMzu79bxnAZwuSsO6E1vw54RD3b7BsJdIsXXWRljybGnJ1TzfSL0OPTJj9Kulj3Rwx1vjFnW6VtBQjVOFqTiafweJFQW8T2xtJxQI8PfYJdi/4BksCYjqdA6FpvfXUpEZ1oWOx8FFz2p9AOTaVUimUmBf1g1Oc0jP6E0+IYQQ0odOFKRwnnOmKB1ylRJmHDaf/mrENFwpy+F8r44O593GW+MXwdHcSvtgHf3hyk/Yn3NL67gtqXGQis3w+uh5na6PdvHF/oXP4A9XDnTbsGxIUpEZXhw5g/d8hVqFZ8/v4j1/lncY/jd55YP9GGeK0vH13Uvd2oj6WjtgXeh4bAyL1WuT9FhXP4x19cO7E5ehWtYEoUAAa7EE54ozkFtfBZVaDXdLW8zzHQYbHfaIVLY0IKmqiHMcJwpS8GTkJD6/BdIFJfmEEEJIH6pt5d4KUs2yqJfLOp3cqs00zxD8edxCvH2V/6ZThVqFI3l3sC50PORqFcwEQr3qk29XFeO7DN1PWf04+RzWhoyDt7VDp+sRDh74aeGzuHuvBD9m30RZcz2EAgEcJFJ8lXKZd3ztpCIzfDVjPSIc3Hmv8VbCYRzn8UAHAB9MeRSP3K/DZ1kW/7pxosd69fyGavzt+lEczE3Gzjmb9H4gsxCJO72hX+g3nNc6fP6cA/xbpZLuKMknhBBC+pAup5FqIuVRorI5cjLcpLb4Z+Jx5HHsStPuk9vn8Wb8QShZNSRCEaZ5hmBjWCwmeQRCwHCr+t3GseyIBfBtxtVub/PbRTp6INLxl4O6blUW6pXkmwlEWBwwAs8Nn6ZX//ay5nrsTE/gNXeCWwCWBvxyANeXdy/ptCH19r1ibDy5DT8seNokDqbi8+dVn3mkO6rJJ4QQQvrQaGcfznNC7Vx5l2I85D8CF5a9ivWh/DrTFDbWPNg82qpS4nhBCtac+Bqrj3/NuVXnz3m3Od//UK7uc2x4dsKJsHfDlzPWIXHl7/GfyY/qfUDTrvSrD3qscxFq54rPp6998G1Jg1yG926e1Hn+rapCHMpN4nxfY3CT2sCDRxtWPn8/iGaU5BNCCCF9aD2PloUbw2P1uqeAEfAuu+jJ5dJsrDuxFS1KOViWxc3KQrx8cQ9G7f4rAre/geG7/oLNZ3bgUkkWWJZFq0qJBkUr5/tUyxp1Hutn4wBfa0fO91gVMhbzfYfB3kBdbC532VCsq0+nr+kUww/ZNzn36d+exu8bBEMTCgRYx+PBcl0/tEkdrCjJJ4QQQvpQtLM3Ytz8dR7vKrXBI4GjtA/UYoJ7AK8EuDe3qgrxQdJZPHlmBx46/DH2Zt1AZUsjWlVK1LQ242j+Xaw6/hWWHvkMda3NYHo+sL5HEqHu5U0CRsC5l75UZIblQaO5htWrRh4PM5oczk3mPOdGZQEqmhsMcn99rQkZBzuJ7t+uLPIbDn8bJyNGNLRQkk8IIYT0IYZh8Nm0tQi01X6Kqa2ZBbbN2ggrsUTv+woYAR6PmKD3Ol19dueC1g2m1yvysfr41wi3d+O8fseae12sCh4Lbyt7ncc/N3yqTt1iuLAS81uv67yU6lJe69T00TkC2jhZWGHrzI2w1OHP7yhnb7w3aXkfRDV0UJJPCCGE9DEnCyv8tPBZLAmIgqiHzauT3INwYOGzGOboabD7bgqPxSIDl+0o1CqdxqXXlj9oB8nFBo4lH7YSC+yc8zjcpdrrwRf5DderTWZPJnsEcZ4TbOsC9w49+VuUctQrZLzuLxHq15/fkMa6+mH/gmd6/PbKXCjGhrAYfD93s0EeZskv+n/7NSGEEDIE2Uuk+GjqKvxp7ELsy76B7LpKqNRqeFja4pHAUQjSc/OnJgJGgI+mroKr1AbbUq/ofRorV8lVRXA0t8I9HevsA2ycMNM7jPN9Am2dcfihX+GVS3txvjizx3GH827D/8YJ/DZ6jl6tQbtaHTIW/711mtN/3w1hMZ1iOFmQyvv+lh2+EWiQy3CzshCNilZYm0kwytmnz5PpCAd37Jv/NNJrynEwNwnlzfUQC4QItXfD0oAo2HIo6SG6oySfEEII6UcuUms8N3xqn91PJBDi7fEP4bnhU7Er4youFGeiQdEKK7EELMsisbLAaPduUSnwRMREbE27giYtdeuO5pbYOmsjRAJ+b6VvVRbiYon2DbAfJp8FC7bHNp18uEptsCEsBltS43Qa72PlgBXBnfcFFDbW6BEBi5y6Knxx9yJ+7LJ511JkhmVB0XgqcjL8bAy7R0ObUHtX/MZ+Tp/ecyijJJ8QQggZglylNng5ahZejpr14Nq36VeNmuQDQLNSjv0Lnsarl37A7XvFGseMc/XDvyet4J2EtijlePXyPqhZVqfxHyWfg4uFNca4+GKYowfn/v+a/GncQpQ11+NI/p1ex7lJbbBjzqZub9f5frMgBIO790rx9NmdaNLQmadJKcf2tHj8mH0TW2dtRKxbAK/7ENNHST4hhBBCALT11H/76mHObRu52JIah4LGavxm1GzYmllgb/YNFDXWgAEDPxtHrAoew3mzbVcHc5M5n7j6p4RDANpKhDaExWBt6DhY6HEwk0ggxKfT1mBL6mVsSYnr9mbeXCjG4oCR+E30HLh1qMVv59vllF9dRTp64KmzO7X+DBsVrXjs1DYcXPgcQu1ded2LmDZK8gkhhBACALAxM8fyoGhsT4s36n1OFabhVGEa1oaMw99jl0Ao0O/NuVKtQllzPWRKBRzMLbEv6wbvtXLqq/DW1cPYn3MLO2ZvgoMevfOFAgE2R07G4+ETcbE0C+k1ZVCo1XCxsMIcnwjYSaQ9zp3lHQ57Mylq5Nw65YgFQp0f0poUrXj/5kl8MWMdp3uQgYGSfEIIIWSAaJDL0CCXwcrM3OBtH9u9PnoerpbnIa2mTOtYM4EQch2762jybcZVSIQi/CXmYV7zS5vqsDM9Ad9lXENFyy+94SVC/dObpKoiPHZqG/bNfwpmeq4nFAgwzTME0zxDdJ4jEYqwLmw8Pkw+q/OcMDtX3OBYbnW8IAWlTXVw53E6LTFtlOQTQgghJkymVOBwXjK2pcXjZmXhg+tCRgCpyAzDHN2xPjQG83wj9U5Ggba3+XvmbcZTZ3civiy3x3EP+4+Av40T/pd0Rq/7bUmNw9rQ8ZxLRi4UZ+Kpszs1HjzVqlLqFVO7G5UFOJibZPDDsnT1wsjpuFyarVPi7mRuhWWB0fhb4lFO91CxapwuTKOTZgch6pNPCCGEmKiSxlosPPQRXrq4t1OCD7QlZw0KGa6U5eK5899h4r53u43hy8HcEnvnPYUfFzyDxQEj4Sq1gbVYAk9LO6wLHY8Ti1/EJ9PW4PkR0zHGxVfv+3EtD7peno/HTm0z2Mmyvdlm5NKl3liIzPDtnMcx3TO013GjnLxw/pFX0aJS8LqPqRyeRQyL3uQTQgghBqJSq3GmKA0/Zt9CaXMdhIwAwXYuWBsyDsOduB1qVS1rwqPHvkRewz2dxpc212HlsS+xd/5TGOnkxSf8ThiGwThXP4xz9etxjIVIjO2zN+HZc7twvjiD970O5Sbjb7GLdRrLsiz+EP8T5GrDvK3X5mZlIcqa6zVuju0L1mbm2D77MdyoLMS2tCu4WJyJBoUMlmIJJroH4omIiYh29gHDMDAXiXndw4LnPGLaKMknhBBCDOBCcSZ+G/cDihprO11PKM/FzvQEjHXxxQdTVsJbx64p/7l1WucEv12zUo7nzu3ChUde03szq65szMyxc/YmxJfnYntqniidnQAAIABJREFUPA7lJXNeo7q1CUq1Sqee+IkVBUipLuUTKm81suZ+S/KBtgeu0S4+GO3i0+u4aGdvXuuP4jmPmDZK8gkhhBA9nShIweYzO6DqpS/7tYp8LP75U/y08Fn4aEn0mxSt2JeVyCuW/IZqnCvO4HVSLFeZtRXYnXkdefVVAABPSztYiSWcy2hEjABCHXrTK9UqfKDnHgA+zEUDI10a7+qPEDsXZNRW6Dwn0sEd0c69PzyQgWlg/KklhBBCTFRpUx1+de67XhP8dhUtDXj67Lc48tDzvR52dKowDQ161Jt/dPsc8hruQaFSwcnCCrO9w2ErseC9XldFjTV47dIPuFSq/URZXUQ4uGs9/OlGZQF+de47PU+C5c7R3BJeVvZ9ek++GIbBs8Om4uVLe3We89zwabwP3iKmjZJ8QgghRA/fZlzltOHx9r1iJJTnIqaXk0ZLm+r0iulaeR6ulec9+LW5UIylgVF4JWqW3q0S8+rvYemRz1DZoWWlvrR1dkmsKMDKY19CxnNjKQAMc/BAeXM9KmWNnOatDhkLsQ5lRKZieVA00mrK8Pndi1rHPj9iGhYHjOyDqEh/oO46hBBCCE9qVo3v0q9ynrcjPaHXz0UGrqeXqRT4LuMaFh3+GJkcSjm6UqnVePz0NoMm+M7mVljiH9Xj560qJZ46u1OvBF/AMNg6ayNurn4D830jdZ4nFZlhfWgM7/v2B4Zh8MbYBfhrzGK4WFhrHOMqtcE/Ypfi9dHz+jg60pfoTT4hhBDCU7WsGeU8Et606t4Pmgq0deYbUq/Km+ux7sQWnFj8Iq/yna2pcZzqvbWRiszw9awNkIrNehxzJO8Oypvr9brPLK+wB99gvD9pBQobanCnuqTXOWYCIT6fvhaeVnZ63bs/MAyDx8JjsSZkLI4XpOBSSRYaFa2wEksw2TMYc30iBtS3E4QfSvIJIYQQnvie9qrtsKYpHsHwsrLr1qnHEIqbarE78xqeHjZF5zkNchleuPA9ThamGiyOUDtX/Hfyo1pbi+7K4P5NSVdPREx88O82ZubYO/8p/CnhIH7KSYJCw88wwsEdf4tZjLG9tA8dCMyEIjzkPwIP+Y/o71AAABm15Q8eOCzFEkz2CEKIHbdD0IjuKMknhBDCiVKtwo3KQlS1NEIiFCHc3g0eA/BtpyHYS6QQMgKoWDWnea5SzWUU7YQCAR4Lm4C/Xj+iT3g92p6WgM2RkyDQoaNNi1KONSe+1uugrVXBY1DYWAOWZeFlZY9Hg0djvKu/Ths+s+r0++bglahZmOgR1OmatZk5/jP5Ufx+9HzsybqOtJpyyFVKuEitscQ/CqNdfGgzqgFdLs3Gf2+dxpWynG6fxboF4KWRM7r9jIj+KMknhBCik3q5DFtTLmNn+lWUNv+yMZQBMMs7HE9GTsJE98D+C7AfWIjEmOMTjqP5dznNe9hf+2bHJyMnIqE816Bvz9vlN9xDXv09BOhQFvTezVN6n6T7t9glkAj5pRxKNbcHqI4W+Q3HK6Nm9fi5i9Qaz4+Yznt9AKhtbcb54kxUy5pgLhIjyskb4Q5ueq05mOzJvI7XLv8AdQ/dp66U5SChPBfvTlyGlcFj+ji6wY2SfEIIIVqVNNZizYmvkVVX2e0zFsDJwlScLEzFH8bMx3PDp/Z9gP1oY1gspyTfUmSGRwJHaR0nul8T/sf4A/gu45o+IWq07sRWPDd8KtaEju3xjX6LUo7v9CyXsRSZ8U7wAcBNaoOa1mZecw/n3cbHyefwqxHTdJ7TIJfhx+ybSKoqQqtKCXtzKRb4DkOsW0Cnt/sFDdX4X9IZHMhJ6rYpeKyLL54dPhVzfCJ4xc2FUq3CycJU7EhLwI3KArQoFbCXSDHbJxyPhcUi0tHD6DH05HJpdq8Jfjs1y+I3l3+Ap6UdJtEbfYNhWB36+pJfMAyTGB0dHZ2YyO+QEkIIGWiaFK14+PAnSK8t12n8exOXYVXIWCNHZTpYlsWvzn+Hg7m6nfT6zwmPYG3oOE73KGioxo60BJwouIuKlgY0KeUPEidzoVivzjMP+Y3Ah1NXajxt9ofsm3jxwve81waAR4NG49+TV/Ce/+nt8/jb9aN6xfDD/Kcx3s2/1zFylRL/TDyOHekJaFbKu30eYueCP41bhGmeIUiuKsK6E1tQreXh47VRs/FS1Ey9Yu9NfsM9bDq1rdfN0MsCR+FfE5fp9aDF1/KjnyO+LFfn8TH/z96dx0Vxpfvj/1Qv7PsOAiK7CCIguyzuYhz3qFncxjFGTUwyc2+Wmfn+cme5k9xksmmid0wyJiZmMRqj0SRilB0VBHdAFkVEQED2paHprt8filcEuququ1ma5/165aVWn3PqUcE8deqc5zhNwIGkTTqMaPQJCwtDfn5+PsuyYXz70kw+IYQQlb4uzuWc4APAG3m/YIlXyLAkFcOBYRi8F7cCSpbF0fLLg7cD8P9FPMY7wQcAd3Mb/Ck8CX8KTwJw78FCppBDzIiw+2om3sz7RWj4+LH8EmyNTfH3qEX9Prtx/yRbTazx16wE5UqfqXg7/wS6lao3K6vyaUGWyiS/W9GD9Sf3Iu128aBtiptqsfbEHvw1ciHevfCr2gQfAP55/gQcTSzwhA4eeqvam7Hsp3+hRk3loYNl59Em78Lu6U9DrOXSrKpca7zDK8EHgDM1N3Ct8Q78rGkzrjZQnXxCCCGDYlkWe4vO8OpzV9aOn8qv6CiikclQLMHOxCfw6YzVSBjn2++zlT5T8fPC57FxUpxW7scwDIwlBjAQS7DKZ6rG5RD3Fp3B7QEq+Sg1WA8P3JtFnmLvptEYNkam+EvkAo3GOF5RgNqOwUud/ve5n1Um+L0ULIv/d+YI7sraOd/7n+dPDFjBR1N/Pv2D2gS/1/GKAuwvHdoVCEJPQ86oKtFyJGPX2JhmIYQQIkhZcx2uC5jNPV5xFUu8Bj/gSB+JGBHmjp+EueMnoa6zFbUdrZCIxBhnZgUzqaHO7mtnbIa1/lH4pCBL8BhKlsW+a2fxctjcPtc1qZq0wCMIb8UuE9z/Yav9o9CtVOAvOUfVru8eiIJVorS5Fg4DVDVqlLXj88LTnMdSgt/973S04HhFARZ4BPHqp8qt1gbeG7I/K8zGKp+pQ1Y1qK1bJqyfvEvLkYxdNJNPCCFkUEI3PArtpy/sjc0xydYFftaOOk3we/05fD7mjw/UaIyTlUX9rj3mEcR72ZWEEeH9uBXYmfiEVpdsbQiIRcqS38Pd3EZQ/4Fm01mWxfqTe9HDswQqX6mV17Q63oGyfJ6PGsDVhmpcVXMAmDaZGRgJ6zcE3y9jBSX5hBBCBmUklgrqZywR1o8IIxGJsSvxSfxpahIcjFTX4B9Mc3dnv2vWhiZY7MnvjczGSXFY7h3KqQY/X16W9oh38RHU1964/5/LexdO4lztTU3DUqtF4Kz2YG61NgrqVyGwnxBCy+nGOlN1HW2hJJ8QQsigvK3sYSHlPyMXau+ug2iIKmKRCJuDEnByyYuC+ptKBp5BfTVsLtzNuM2e+1s74flgzerOq7PIU/0ZA48yEIlh+cjXcVNXB3ZeTtNWWCqZSg20Oh7Lex5/6PlbOyHSUXVFo0dFOnrQGQNaREk+IYSQQRlLDLDcO5RXHwkjwiqfsVNCc6SxNjJFgI0z735Rg1SfsTc2x/6kjfCzUl3xZIqdG76euwEWApdpcBXlOEFtLI/qViqw+tc9fdZ7HyjN16j0KB9RTp5aHU/okiV3c2utxqHOS1NmQsRxD4CIYXRabnQsoiSfEEKISusDYngt21nuHTrgBkcydNb48S9buVpFqUtXM2v8vPB5fJTwBCIdPR5cZ8Ag3sUHn8xYjR8ee3bAJTHaxjAM/jt6Ee+KQsVNtfjq2v8d7HVKy+vkB2NpYMzphGM+lnuFgu/22Uk2zphkM7QHY01z8cb/xCxVm+iLGAZvxixBnMClWGRgVF2HEEKIShMs7LAz8Qk8k/IletSUVIx0nIC/DVBvnQytJV5T8NHlVNxq47YGe657APytVS+TMBBLsMgzGIs8gyFXKtAh74ap1GDAQ7R0LcrJE5sDE7D90ile/fYWncHvJsVCxIgG3IPAlYQRcd6suzkoXut7VNzMbTDLbSKvCjvrJsYMWWWdhz3hGw5XMyu8f+Ekzt4p7/d5pKMHXgieifhxlOBrGyX5hBBC1JrjHoBv5v4Or5/9EVcbqvt9biyRYpVPOP40NQlGtOl22JlKDbF39nqs+Hk36mRtKttOsXPD+3EreI0vFYlhaWisSYgau93OfxNpeetdFDXWIMDGBSYSYevkx5la4c/h8/Fixn50KVQf0LXSZyq2BiUKuo86/x29GJfv3uZUK3+uewBWePM+MFVr4lx8EOfig8KGGmRVl6JVLoO51Aixzt60Bl+HKMknhBDCSZSTJ35ZuA35dRX48cYl1MvaYSiWYJKNM5Z5hQ570kf68rFywJEFW/C33J9wvKIAikdmns2khljhHYZXw+bBRMsbQ4dCg0xgedf7/SKdJuB0zXVefcWMCF/P2wBPC3u4mlnjzbxfkFVd1q+di6klNgXG47c6nD13MbXEwfmbsO7E5yhprh203VKvELwdu2xIT7sdzEQbJ0rqhxAl+YQQQjhjGAZhDuMR5jB+uEMhHLiZ22D3jKdR3d6MIzcuorq9GWKRGF6Wdlg4IXhU1yQ3kghLYXrfND3pG4EdF09BweNwrS1BCfC0sAcAhNi74dt5G1HSVIvjFVfRKOuAkUSKYDtXzHT1H5Kkery5LU4sfgEnbhXii6KzyKu9iU6FHFYGJpg7PgBr/KIQZDdO53GQkYmSfEIIIUTPOd+fWdYnwXZu+PnmVV59jMRS+NyvzONiaonHvcPwTck5Tn1tjUzxu0mx/a77WDnAx8qBVxzaJBGJkTQ+EEkaHoZG9M/wv7shhBBCCOFplc9U3hV2lnhN6VPi8+9RizgdrmVhYITPZq2DrZEZ7zgJGS6U5BNCCCFk1LEzNsPjPDaTSkQibAjoOxNvJJHis1lrsW3ydFgNsKeEATDT1R+HH9uCEHs3TUMmZEjRch1CCCGEqMSyLPLrKvBF0Vlcvnsb3UoFbI1MscAjCMu9Q2FlaDIscf0l8jcoa67D2Ts3VLYTMQzej1sxYJlQA7EEL4fNxfPBM/DTzSsoaqhBt7IHDsbm+M2EyYIPniJkuDEsjw0nBGAYJi80NDQ0Ly9vuEMhhBBCdK66vRmbU7/CudqbA35uJJbi1bC52BAQOyx12Dt75Phb7jF8W3JuwJKWnhZ2+K/I32CGq9+Qx0aIpsLCwpCfn5/PsizvGqg0k08IIYSQAd3paMGSY7tQ2d40aBuZQo7/yjmKNnkXnpkUh8t3b6NN3gULAyME2Y7T+bkJxhIp/hG9GP8ZMhsHyvJxqf42uhQ9sDUyxWMeQYh19hqWhw9Chhsl+YQQQggZ0B8yD6hM8B/2z/Mn8NHlVHT2yB9cszY0wSqfcPw2IAbOppa6CvPevYxMsXFSnE7vQchoQkk+IYQQQvopbapF6u1iXn0eTvABoLGrA7uupGF/6Tl8PmsdpgjcvNom78KhsvM4dP0C7nS0QMyI4GPlgCd9IzDd1RcihuqIEPIoSvIJIYQQ0s/XHOvHc3FX1o7VJ/bgxwVb4WFhy6vvgdJ8/PnMYbTJu/pcv95Sj+MVBfC0sMPuGU8PuKmWkLGMHn0JIYQQ0k9pU61Wx2vs6sD7F07y6rPvWg5ezNjfL8F/2PWWeiz96X9xrfGOpiEOGyWrRElTLc7duYmChuoBNxATwhfN5BNCCCGknx5WqfUxj9y4hNcjHoO1kanatteb6/DH04c4jdvSLcOzKftwcsmLo2rpTku3DF8X52Bv0VncbL374LqNoSme8A3HWv8ouJhZDWOEZDQbPd8JhBBCCBkyTiYWWh+zW9mDk5XXOLXdW3QGCh5lvkuaa5FVXSY0tCF3o6UeSUd24G+5P/VJ8AGgoasdH11Oxcwf3kf2KPo9kZGFknxCxgClUvszcoQQ/bbUc4pOxm2QtattI1cqsL+U/3k0X13LFRLSkLsra8OTxz/tl9w/qlUuw7pfP8eVu7eHKDKiT2i5DiF6iGVZFBcXIy0tDVeuXEFXVxekUim8vb2RmJiIoKAgiMXi4Q6TEDKCxTh7wdvSHqXNdVodl0vd/LrONrR0y3iPXdqs3X0EurLzUhputTVyatvR042/5hzD/qRndBwV0TeU5BOiZzo7O7F7924UFBT0uS6Xy1FYWIjCwkK4urpi69atsLGh49oJIQNjGAZvxS7Dql8+RrdSobVxg2xd1LbpUQrbeNrR0y2o31Dq7OnGNzwrF2XXXEdJUy18rBx0FBXRR5TkE6JH5HI5duzYgbIy1Ws4Kysr8c477+CVV16BhYX2190SMpSUSiUKCgqQnp6OW7duoaenB2ZmZpg6dSqmTZsGS0vdHsKkzyIcPfBfEQvwxzOHtTZmXm0FQuzdVbapaG0QNDbLYw3/cMmqLkNzdyfvfkfLL+GlKbN0EBHRV5TkE6JHTpw4oTbB71VfX4+DBw9i/fr1Oo6KEN2pra3Frl27UFVV1ed6S0sLjhw5gqNHj2LBggWYP38+GIYZpihHtysN1Vod79OCLKyfGAOxaPBtgU1d/JNgADo/VVcb6jrbBPWr71S/l4GQh9HGW0L0hEKhQHp6Oq8+586dQ1ubsP/hEDLc6uvr8fbbb/dL8B+mVCpx5MgRHDrErRQj6e9Y+SWtjnerrRFpVSUq26h6AFBlvDm/g7aGg4FY2PyqIe2jIjxRkk+Inrh27RoaG7lt5OrV09ODnJwcHUWkGYVCgQsXLuDQoUP49ttvcezYMVRWVg53WGQE+eyzz9DS0sKp7fHjx3HtGrfSjeT/yJUKNAvYAKtOQcPgD2YA4GMpbO35r7eK8Ma5X3BL4HKfoTDJxllQvwAb9XsZCHkYLdchRE/U19cL6tfQMLL+Z8iyLE6ePIkTJ06gqampz2dHjhyBl5cXli5dCm9v72GKkIwEt27dQkmJ6tngR6WkpMDPz09HEeknCSOCmBFBoeWDsWRqTnT1tnJApKMHzt4p5zVub335nZdT8WxgAl6bOnfEHY7lb+2EqQ7jca72Juc+VobGeMwjSIdREX00sr7yCSGC6cN6Y5Zl8cUXX+C7777rl+D3Kisrw7vvvosLFy4McXRkJMnKyuLd5+LFi5xn/sk9DMMgkEM1HL7sjMzUtvltQKzg8VkAu66k4U+nD4/IzbjPTIrj1X6NXxSMOZQeJeRhlOQToifs7e2HtJ8uHD9+nFPyplAo8Mknn6hci030W20t/3roSqUSd++qPnyI9Pe0X6RWxxMzIswbP0ltu/njA7HWP1qje31x7Sx+vVX44NdNXR3IqCrBLzevIru6DJ09co3GF2q+RyA2ByZwajt9nB9eCqGqOoQ/Wq5DiJ7w9fWFnZ0dr2U7UqkUU6dO1WFU3MnlciQnJ/Nqf+LECaxdu1aHUZGRSujsLJ3+zN9iz2C8nZ+M2s5WrYw31z0ATibqS/cyDIO/Ry2EjZEJPryUCrnAWv17Ck/D3dwWu69m4PD1i5Ap/i+xtzQwxkqfMPxuUhxchrgyzx+nzoODiRneO38SLfL++x6kIjGe9I3A6xGPQSqiTbeEP0ryCdETIpEIiYmJOHDgAOc+kZGRMDU11WFU3J07dw7t7fxKxOXm5mL58uUj5vdAho61tfWQ9hvLjCUG2DNrLVb+8jHa5F0ajWUuNcSrYXM5t2cYBn8ImY11E6PxTfE5/LsgG3c6+S25Sq8qQdKR7QMe6NXc3YndVzNxsOw89s5ej2A7V15ja4JhGGycFIenfCPxw40LOHmrCM3dnTCRGCDCcQJW+UyFnbH6ZU2EDIaW6xCiR2bMmIGJEydyauvs7IylS5fqOCLuSktLefeRy+W4eZP75jWiP6Kionj38fPzo1OeBQq2c8Wh+ZtVJsFcZptb5V344+nDyFBTQvNRtkZm2Do5ESH2brz69VJ3Yu9dWTtWJ/9b8CFcmjCRGuBJ3wh8OnMNDiRtwt7Z6/Hc5ERK8InGKMknRI+IxWJs2bIFYWFhKtt5eXnh97///YiaAe/qEjZDKJNpv7wfGfl8fHzg4sJvQ2hiYqJughkjJto44eiCrfhxwVas8Y/CDFc/zHT1x28nxiB50TacW/ka/iNkNmwMTVSOk1ldiiePf4rPC0/zjoGF7jbRNnR1YMelFJ2NT8hQo+U6hOgZAwMDPPPMM6ioqEBaWhquXLmC9vZ2GBkZwcfHB4mJifD19R1x1XiMjY0F9TMxUZ1QEP3EMAzWrl2Ld955B93d3Wrbh4WFYcqUKUMQmX5jGAYh9m6Dzqg/5hGEnZdS1Y7DAvjTmcNwMrHAXA6bcHuNM7Xi3FaIQ2UX8Oep82FpKOzfI0JGEkryCdFT7u7uWL169XCHwVlgYCDvE3tNTEzg6empo4jISOfh4YEXXngBO3fuVLmfIyoqCqtXr4ZI4CmqhLsPL6WgQ8G9Ys1b+cmY4x7AedLhce8w/LswW2h4askUcmRUlWDBhMk6uwchQ4WSfELIiBAUFAQbGxteh3PFxMTAwMBAh1GRkc7b2xt///vfcebMGaSnp6O6uhoAIJFIEBYWhoSEBHh6eo64N1f6qEHWjiM3LvHqc63pDnLulCPSaQKn9kF24xBq7478ugohIXLS0NWhs7EJGUqU5BNCRgSRSIRFixZhz549nNqbmZlh1iyqHU3uvdGZMWMGZsyYAblcjp6eHhgaGtLM/RDLrrkuqMxl6u1izkk+ALwduwyLj+1C6wBlJ7XBWEyHThH9QEk+IWTEiIqKQnNzM77//nuV7czMzPD8889TOUTSj1QqhVRKSdpwaOnuHJJ+ftaO2D9vI9ad/Bx3OgYvpxnh6IGcO+W845nyyH6D1m4Zfrp5BbfaGgEAHuY2SBofCFOpIe+xCRlKlOQTQkaUuXPnYty4cUhOTsa1a9f6fGZgYICIiAgkJSXBzs5umCIk3d3dyM/Px+3bt6FQKGBpaYnw8HAqTznGmUqEJb0mAvoF2Y1DxtL/wA83LuCLorO4fPc2AMBYIsX88YFY4x+NybYuiDnwNqo7mjmPG+3kCR8rBwD3Tsd9Kz8ZB0rz0dHTd3P3/ztzBCt9puI/QufAjJJ9MkJRkk8IGXECAwMRGBiImpoa3LhxA93d3TAzM8PEiROpms4wksvlOHr0KNLT09HR0Xfd8qFDhzB58mQsX74cDg4OwxQhGU7hjh4QMQyUPE8jjnYWtnm+t778k74RUCiV6Fb2wEgs7bP/YlNgHP4r5yjnMZ8NjAcA1Ha0YuUvH6OkuXbAdq3yLnxSkIXTNdfxzbyNsFZTNpSQ4UBJPiFkxHJycoKTk9Nwh0Fwb/b+ww8/7Pd2pRfLsrh48SJKS0vx4osvwt3dfYgjJMPNxdQSs90m4nhFAec+7mY2SBzno/G9xSIRjEX9N+FvCIhFYWMNvi05p3aMV8PmYaabPxRKJdaf/HzQBP9hVxuq8WzKPnwz93e0uZuMOLQriRBCiFr79u0bNMF/WHt7Oz788EOVJS2J/to6OREShntqsS14OkQ82vPFMAzejl2KV8PmwWqQ2vcuppZ4P+5xPDc5EcC9jcAX6ys53yOrukzQ2n9CdI1m8gkhhKhUX1+Ps2fPcm7f3NyM7OxszJ49W4dRkZEo1N4d78WtwIsZ30KhZtnO1qBErPIN13lMIkaE5yYnYkNALI6VX8KZmhvo6OmGhYHxg1N7xQ9VYvq8iP9JvJ8XneZVIYiQoUBJPiGEEJUyMjLA8lxnnZaWhpkzZ1IZyzFoidcUOJiY4+38ZJyrvdnvc08LOzw/eToe9wkb0riMJVIs9w7Dcm/V982qLuM9dnb1daFhEaIzIyrJZxjGFcBfAcwDYAugGsAPAP7CsmwjxzFSASSoaGLMsqxuiusSQogeKikp4d2nrq4Ozc3NVOZ0jIp19kLsY5tx9W4VTlYWoblbBhOJFJGOExDr7DVi16/3KBXoUvTw7tcm79JBNIRoZsQk+QzDeAHIBuAA4DCAIgARAF4AMI9hmFiWZe/yGPIvg1zn/91LCCFjWFeXsARGaD+iPybZumCSrctwh8GZRCSGsUSKzh45r37mBlRGk4w8IybJB7AT9xL8bSzL7ui9yDDMuwBeAvDfAJ7lOhjLsv+l7QAJIWQsMjYeeMOirvoRMpwSXHzxS8VVXn1au7uQV1uBMAeqKkVGjhGxWJJhGE8AcwCUA/jokY9fB9AOYDXDMKZDHBohhIx5gYGBvPu4ubnBwsJCB9EQoltrJ0bx7iNTyLHyl4+RX1ehg4gIEWZEJPkAZtz/MZllWeXDH7As2wogC4AJAM7feQzDrGQY5lWGYX7PMEwSwzD0Lo0QQgSIiYmBRMLvxW9iYuKIXXdNiCrTnL0R7cT/gC6ZQo7NKV+hR6nQQVSE8DdSkny/+z8WD/J5764vXx5jfgPgDQDvAPgJQAXDMMu5dmYYJm+g/wD484iBEEJGPQsLC8yaNYtzexcXF0REROgwIkJ0h2EY7J7xNCbbjuPd93Z7E369VaSDqAjhb6Qk+Zb3f2we5PPe61YcxjoM4DcAXAEY415S/sb9vt8yDJOkQZyEEDImLVq0CDExMWrbOTo64vnnn4eBQf/TRwkZLawNTfDN3N/BUMx/6+JXxTk6iIgQ/kbSxltVet/5qi3UzLLse49cugbgjwzDVAHYAeAfAH7mMM6AhXTvz+aHqutPCCH6RCQSYc2aNfD29sapU6dQWdn3RFBTU1PExMQgKSkJpqa0fYqMfj2sUlA5zfIWPoUACdGdkZLk987UWw7yucUj7YT4BMB7AKYwDGN+f60/IYQQjhiGQWxsLGJiYnDjxg1UVVVBoVDA0tISAQEBNHtPRoRuRQ9KmmrRJu+CuYEhfKwcIRWJeY+j5HkAXC91J/0SMlRGSpJ/7f6Pg63XJa4VAAAgAElEQVS597n/42Br9tViWVbGMEwrAGsApgAoySeEEAEYhoGnpyc8PflvTiREV+50tODzwtP4qjgX9bK2B9cdjc3xpF8E1vpHw87YjPN4lobGgmrmjzMdbL6SkKE1Utbkp9z/cQ7DMH1iYhjGHEAsgE4AZ4TegGEYP9xL8FsB1AsdhxBCCCEjS35dBWb/8D62X0rpk+ADwJ3OVrx34SRmH/4AV+7e5jymVCTGEs8Q3rE87j3gal9ChtyISPJZli0DkAzAA8DWRz7+C+7NvO9lWba99yLDMP4Mw/SpdMMwjCfDMP22wzMMYwdgz/1ffsOyLJ16SwghhOiB6811WJ28Bw1dHSrb1XW24snjn6KitYHz2Gv9+dXMtzY0wYIJk3n1IURXRkSSf98WALUAtjMM8wPDMG8wDHMK9067LQbwp0faF97/72HxAG4yDHOSYZjdDMO8yTDMVwBKAUQDOAfgZZ3+LgghhBAyZP4nPxnN3Z2c2jZ0deCf509wHnuSrQuem5zIqS0D4J+xy2AskXIenxBdGjFJ/v3Z/KkAPgMQCeAPALwAbAcQzbIsl+3qeQC+BOAAYNn9MeYBuAxgG4BYlmWbtB48IYQQQoZcTUcLfrl5lVefH29cQoOsXX3D+14JnYttk6erbGMklmLX9Kcwd/wkXrEQoksjZeMtAIBl2VsA1nNs2+8oRZZlLwNYp+WwCCGEEDIC/XLzKhSsklcfuVKBE7cKsdJnKqf2DMPg5bC5WOw1BXuLzuD7svNo6ZYBAFzNrPCkbwRW+YTDwcScd/yE6NKISvIJIYQQQri6+8gmW67qO/n387VyxN+jFuFvkQvR0dMNMSOCES3NISMYJfmEEEIIGZWEnEirST/g3sy+qdRQcH9Chgol+YQQvdPc3IzMzEzk5+ejpaUFBgYGcHd3R3x8PPz8/CASjZjtSIQQDQTa9iuox7Gfi5YjIWTkoSSfEKI3WJbFTz/9hGPHjkGhUPT5rL6+Hvn5+XB1dcXmzZthZ2c3TFESQrQl3sUb7mY2qGjjXhbTx9IBkY4TdBgVISMDTWcRQvTG999/jyNHjvRL8B9WWVmJt956Cw0N3JMCQsjIJGJE2DhpGq8+GwOngWH61e4gRO9Qkk8I0QuFhYVITk7m1La5uRmff/65jiMihAyFdROj8bh3KKe2T/tF4gmfcB1HRMjIQEk+IUQvpKSk8GpfVFSEqqoqHUVDCBkqDMPgnWnL8eKUmTCRGAzYxkxqiJdD5+CN6MU0i0/GDFqTTwgZ9Zqbm3Hp0iXe/TIzM7FixQodREQIGUoiRoT/CJmNTZPicLDsPDKrStHe0wUzqSHiXXyw1CuEKuKQMYeSfELIqFdfXw+WZXn3q62t1UE0hJDhYm5ghHUTo7FuYvRwh0LIsKPlOoSQUU+p5HfiZS8hDwbaxrIsurq6BP8eCCGEkIHQTD4hZFg1Nzc/qGcvkUgwbtw4BAUFQSwWcx7D2tpa0L2F9tMUy7IoKipCWloaLl++jJ6eHjAMA09PTyQmJiIkJARSKZ2kSQghRDhK8gkhw6Kurg6HDh3C+fPn+81iW1lZYfr06ZgzZw6ng6vs7Ozg7e2N0tJSXjFERUXxaq8NnZ2d2L17NwoKCvpcZ1kWZWVlKCsrg4ODA5577jk4OjoOeXyEEEL0Ay3XIYQMuYqKCrzxxhvIy8sbcJlKU1MTDh06hH/9618qa94/LDExkVcMrq6u8PLy4tVHU3K5HB9++GG/BP9RtbW1eOedd6iWPyGEEMEoySdjQk9PDxoaGlBXVweZTDbc4YxpbW1t2LFjB9rb29W2vXDhAg4cOMBp3LCwMISEhHBqa2BggNWrVw95Kb1Tp05xftvQ3NyM7777TscREUII0Ve0XIfotTt37iA1NRWnT59GZ2cnAEAkEmHKlClISEiAn58f1UweYhkZGWhpaeHcPj09HUlJSbCwsFDZTiQSYcOGDfj888+Rm5s7aDtTU1Ns3rwZHh4enGPQBqVSibS0NF59Lly4gMbGxmHbO0AIIWT0oiSf6K3MzEzs27ev33IQpVKJ/Px85OfnIyYmBk8//TSvTZ5EOKVSifT0dF59enp6kJWVhaSkJLVtpVIpNmzYgPj4eKSnp+P8+fPo6ekBADg6OiIhIQHR0dEwMTERFL8mSkpKcPfuXV59lEolzp49i3nz5ukoKkIIIfqKknyil86ePYsvvvhCbbvs7GwwDDMsSzfGorq6OkHrzK9du8YpyQfunX7p6+sLX19fKJVKdHZ2QiqVwsBg4JMwh4rQ9fW0Lp8QQogQtCaf6J2uri58/fXXnNtnZWXxrspChOnq6hLUT+g+CpFIBFNT02FP8AEIfoikh09CCCFCUJJP9E5OTs6D9fdc8V0rTYQxNjYW1M/IyEjLkQw9BweHIe1HCCFkbKMkn+idnJwc3n3y8/Mhl8t1EA15mK2tLezt7Xn304e/mwkTJsDFxYVXH4lEgsjISB1FRAghRJ9Rkk/0TnNzM+8+CoUCbW1tOoiGPEwkEiEhIYF3v9LSUlRUVOggoqHDMAymT5/Oq094eDjMzMx0FBEhhBB9Rhtvid7hckLqQKjCjjDd3d3Izc3F2bNn0dTUBJFIBGdnZ8TFxcHf37/f30dsbCx++ukndHR08LpPWloaVq9erc3Qh9y0adNw9epVXLhwQW1bJycnPP7440MQFSGEEH1EST7ROy4uLqiurubVx9zcnGZMBcjLy8OXX37ZL2Gvrq5Gfn4+nJycsGnTpj7LVExMTGBlZcU7yc/JycFTTz0l+CFuJBCJRNi4cSO++uorZGVlDdrOy8sLzz77LExNTYcwOkIIIfqEknyid+Li4pCXl8erT2xs7KhOHofDmTNnsGfPHpVtampq8NZbb+Hll1/uk+jzTfCBe28MOjs7R33iK5FIsGbNGsyZMwdpaWm4dOkSOjo6YGhoCG9vbyQkJMDb25uq6hBCCNEIJflE7/j5+cHFxQVVVVWc2ovFYsTHx+s4Kv1SX1+PvXv3cmrb2dmJf/3rX3j99dcfPEgJXRqlT0uqnJycsHLlSqxcuXK4QyGEEKKHaOqS6B2RSIRNmzZxmvFlGAbr16+Hra3tEESmP9LT06FQKDi3r6mpQWFh4YNfOzs7876ntbU1DA0NefcjhBBCxiJK8olecnJywssvvwxXV9dB25ibm+PZZ59FeHj4EEY2+imVSpXryQeTkZHx4OdxcXG8+8fFxdESFkIIIYQjWq5D9JaTkxP+/Oc/o7i4GBkZGaipqYFSqYSlpSUiIyMRFhYGqVQ63GGOOm1tbYLKjdbU1Dz4eVBQEKytrdHY2Mipr1QqxbRp03jfkxBCCBmrKMkneo1hGPj5+cHPz2+4Q9EbSqVSUL+Hl/fI5XL09PRw7uvg4ABLS0tB9yWEEELGIlquQwjhxdTUFBIJ//kBKyurBz/PyclBa2sr5763b99GeXk573sSQgghYxUl+YQQXqRSKUJDQ3n3i4yMfPDztLQ03v1TU1N59yGEEELGKkryCSG8JSYm8mpvbGz8YINzV1cXKisred/z+vXrvPsQQgghYxUl+YQQ3ry8vBAREcG5/VNPPfWg/GV3d7ege3Z1dQnqRwghhIxFtPGWEMKLTCbDl19+idzcXLVtRSIR1qxZ06dMqZGRERiGAcuyvO472k66ZVkWpaWlyM/PR2trK6RSKdzd3REVFQVjY+PhDo8QQoieoySfEC1paWnB2bNnUVdXB5ZlYWtri8jISFhbWw93aFrT1dWF999/Hzdu3FDb1tvbG+vWrYO9vX2f61KpFAEBAbh69Sqve0+ePJlX++FUWFiI7777Drdv3+5zPTs7G4cOHcK0adOwZMkSKuFKCCFEZyjJJ0RDLS0t+O6775CXl9fvFNjDhw9jypQpWLFihV4k+/v37+eU4ANAaWkp7t692y/JB+6t6eeT5DMMI+gAreGQl5eHTz75ZNBSo11dXTh58iSqqqqwdetWSvQJIYToBK3JJ0QDjY2NeOutt5CTk9MvwQfu1ZTPz8/H//zP/6Curm4YItSetrY2nDlzhlefkydPDng9MDCQ19kF06dPh62tLa97D4fq6mr8+9//5nSWQGFhIQ4cODAEURFCCBmLKMknRCClUoldu3ZxSt4bGxvx0UcfDfggMFqcPn2a1wFWAHD58mU0NDT0uy4SibBp0yZ4enqqHSMqKgqPP/44r/sORC6X4+bNmyguLkZlZaXgQ71UOXnyJK8/o8zMTEGnBxNCCCHq0HIdQgQqKirCzZs3Obevrq7GxYsXBdWYHwmElL1kWRZVVVWwsbHp95mpqSleeuklpKSkIC0tDXfv3u3zubu7O2bMmIGoqCgwDCM47rt37yIlJQXZ2dlob29/cN3GxgZxcXFISEjQyqbezs5OnD17llefnp4eZGdnY86cORrfnxBCCHkYJfmECCT0QKeRmuQrlcoHFW8qKirQ3t4OAwMDuLq6wsTEhPcsfi9V/QwMDDB37lzMnj0bpaWlaGpqAsMwcHR0hLu7u6D7PayoqAi7du2CTCbr91lDQwMOHz6MjIwMbNu2Dc7Ozhrdq6qqSlB5UK57HAghhBA+KMknRKDS0lLefcrKynQQiXAtLS3IyspCZmYm6uvrAaBfeUupVIrw8HCIRMJW91lYWKhtIxKJ4OvrK2j8wVRUVOCjjz5Sm3g3NDTggw8+wGuvvQZLS0vB9xNa/19oP0IIIUQVSvIJEUhIctbT0wOlUik4YdamvLw87NmzB3K5vM/1R+vXy+VyZGdnC4rZzs4OHh4emoQp2MGDBzn/HTU2NuLnn3/GqlWrBN/PzMxMUL/RVv+fEELI6EBJPiECmZiY8E70jYyMRkSCn5+fj48//pjXgVRCNqrGxcUNy++3pqYGRUVFvPqcPn0aixcvhpGRkaB7jhs3Dra2tv32FqgzZcoUQfcjhGjmcv1tfFWcg2tNdyBXKuBobIHFnsGYO34SpCLxcIdHiMYoySdEoMmTJyM9PZ13n+Emk8mwd+9e3ifO8uXq6orExESd3mMw+fn5vPvIZDIUFhYiJCRE0D1FIhESEhLw/fffc+5jZWWF4ODgAT9rbm5GeXk5uru7YWpqCm9vbxgYGHAa9+HTdtva2iCVSjF+/HhERETQabtkzKtqa8Lz6d/g7J3yfp/9UnEVjsbmeDNmCWa7Bwx9cIRoESX5hAiUkJDAO8nnmvQ2NjaitbUVYrEY9vb2nJM7LnJyctDZ2anRGBKJROWGWnd3dzz33HOCZ8U11draOqT9urq6kJubi+rqahgZGQ240XcgS5cuhVjcd8awvLwcycnJOH/+fJ+3JyYmJoiJicGsWbNUHqxWWFiI/fv3o6qqqs/1rKwsHDx4EPHx8Vi8eDEkEvrnn4w9VW1NWHRsF6o7mgdtc6ezFRtOfYEP41dhoefAD+GEjAb0rzwhArm6uiIyMpJz2cTg4GCVdeEVCgXOnTuHtLS0Pht0jYyMEBUVhenTp8PJyUnjuLOzszUeIyIiAmZmZsjKyupTlrJ39j4yMlKrDyZ8CU1g+Z4+q1AocPToUaSkpPB6cGIYBo8//jgiIyP7XD99+jT27t074NKojo4O/Prrr8jJycG2bdvg5ubWrw2X03ZPnDiB27dvY+vWrZTokzGFZVlsSftaZYLfS8myeCFjP6bYu8HdvH8JYEJGA/oXnhANrF69Gp2dnbh06ZLKdv7+/tiwYcOg9d47Ozuxa9cuXLt2rd9nMpkMqampSE9Px9q1axEVFaVRzAMdTsVXT08Pli1bhoULF6Kurg7d3d0wMzODra2tRjXttUVo+c2BEufBKBQK7N69GxcuXODch2EYBAcHY9asWfDx8enz2ZUrV/D555+rXUbV0tKC7du3449//GOfGf2qqip8+umnnPZOFBQU4ODBg1i5ciXn2AkZ7S7UV+JcLfezTeRKBfYWncGfw+frMCpCdIeSfEI0IJVKsXnzZmRkZCA1NbXfEglHR0ckJCQgISFh0FlThUKBnTt3ori4WOW9lEolPvvsMxgZGWm0WVMbSXjvjLdUKoWLi4vG42nblClTYG5uzmv5jZeXF1xdXTm3//HHHzkn+L0z96GhoQMutWFZFgcPHuS8T6KlpQXJycl9kvSTJ0/yOlE5IyMDCxYsoOo+ZMz48hq/w+oA4JuSXLwcOgcGYkqXyOhDX7WEaKh3w2V8fDzKy8tRV1cHALC1tYWnp6fapDonJ0dtgt+LZVl8/fXXCAoK6reWmyt7e3s0NTUJ6ttruMpiciWVSjF9+nQcOXKEc59Zs2ZxbiuTyZCSksK5PcuyKC8vx8yZMwf8vKysrN8Dojq91YAMDQ0FnbYrl8tx+vRpXr/vR9XV1SEvLw/Nzc2QSCQYN24cQkNDh3WpFiGDKWqs4d2nqasTtZ2tcDUbfB8MISMVJfmEaAnDMJgwYQImTJigti3LsmhqakJnZydOnjzJ6z5NTU24dOmS4CowsbGxKCkpEdQXuLdHICIiAkqlEgzDaG15jkKhQFVVFTo7O2FkZARnZ2fea+QflpSUhIqKCk6z7fPmzeN1EnFubi7nzbW98vLysGLFCpibm/f7jM+Sn16dnZ0oKSlBYGAgbt++3e+8Ay6uX7/Ouw9wb2nQgQMHcPXq1X6f7d+/H/Hx8ViwYAGt+ScjSrdC2KndQvsRMtzoX2BChpBMJsOZM2eQlpbGe+b2Ybm5uYKT/KlTp+LgwYOCK8lYWlrilVdegUwmg0Qigbe3NxISEhAcHCzo7UJbWxvS0tKQnp7e5w2Dubk5YmNjkZiYqLKazGBEIhGeeeYZHDp0CKmpqQMmwaampliwYAGmT5/Oa+wbN27wjkehUKCiogKTJk3q91lHRwfv8QA82PQ8lKftlpWVYfv27YM+5LS3t+Pnn3/GzZs3sWXLFo0e1AjRJgdjcxTynM1nwMDWSNhBd4QMN0ryCRkitbW12LFjB2prazUeq6WlRXBfqVSKDRs2YMeOHbzWcPe6c+fOg5/39PSgqKgIRUVFcHZ2xnPPPQc7OzvOY92+fRvbt28fcPlQa2srfvnlF2RkZGDr1q3w8vLiHatYLMby5cuRlJSE06dPo6SkBF1dXTAxMUFQUBDCwsIELS3RdlItNBHujV3ounq+p/S2tLTgo48+4vQWo6CgAN9++y2efvppQbERom0LPYORVsXvLeZ0V19YGtLZEmR0Gv6jNwkZA1paWvD+++9rJcEHhCeFvSZOnIjnn39eq5suq6ur8c9//pPzev+Ghga8//77atu3t7dj+/btGr35MDU1xaxZs7B582a8+OKLeOaZZxAdHS147biJiYngOAYi5AGGYZgHeyPc3NxgY8O/zF9AQACvk4zT09P7lExVJysrS+P9H4Roy8IJk2FpwC9hX+sfraNoCNE9SvIJGQJHjx7F3bt3tTbeuHHjNB5j4sSJePPNN7FmzRp4enpqJeFvbGzE/v37ObU9evQo5zcSMpkMP/zwgyahaZWQ6kbm5uaD7tcICQnhPaseHBz8YBmTSCRCXFwc75g+/fRTbNmyBe+++y7y8vJUvtlRKBTIyMjgNb5SqURmZibvuAjRBWOJAf4WtZBz+3nukzDd1VeHERGiW5TkkzGBZVnO5Qm1rbOzE2fOnNHqmEISuoEYGBggNjYWr7zyCn7zm99oZczz589zmp3PycnhNe6lS5e0UuNfG/z9/eHg4MCrz7Rp0wZ9AyOVSgetvDMQhmEwe/bsPtcSExN5xwTc+964du0adu/ejX/84x+D/hnX19cLmpXnWjmKkKGw1CsEb8YsgUhNwYB57pOwI2EVRAylSWT0oq9eore6u7uRmZmJN954A8899xw2b96M//zP/8S3336Lmhr+pdSEunz5Mrq6urQ23uTJk+Ho6Ki18XplZWVpZRylUqm2nOPly5d5V4NhWRb5+fmahKY1IpEIy5Yt41xZyNraGjNmzFDZZt68eYiIiFA7FsMweOqpp+Dt7d3nuomJCbZt2wZ7e3tOMQ2ksrIS77777oCbsoV+DQvdv0CIrjztF4nkRS9gtV8kTCR9l+zFu/jgkxmrsXvGUzCW0KZxMrrRxluil65fv45du3b1Ww7S0tKCU6dO4dSpU5g9ezaWLl0KkUi3z7rNzeqPUOfK0dERa9eu1dp4D9PWfgEAapcmtbW1CRr36tWrGtV116YpU6bgqaeewr59+1S+JbK2tsYLL7wACwsLleOJRCKsX78ezs7O+PXXXwdc++7o6IilS5cOulzI3t4er732Gk6ePImMjAxBG7Tr6urwww8/YPXq1X2uC92HYGxMmxbJyONv7YQ3Ypbg/4U/htvtTZArFXAwNoedMVXSIfqDknyidyoqKvDee++pnUE8ceIE5HI5Vq1apbVa7wMRemjVo4KCgrBu3Trea7e54rMBU1NC66cXFBQgNzcX4eHhg7ZRKpUoKirCnTt3oFQqYW1tjaCgIJ2UcoyLi8O4ceNw4sQJXLhwoc+foZmZGaZNm4aZM2eqTfB7iUQizJ8/H7Nnz0ZeXh7KysrQ3d0NExMTBAcHw8/PT+3XqqmpKRYuXIjHHnsMZWVlaGpqwpdffslrJv7s2bNYtmxZn8Te1tYWTk5OvN+CBQUF8WpPyFAykRrAx4r/MjdCRgNK8oleYVkW//73vzkvEUhNTUVISAj8/f11FpPQTbKOjo6wsrKCm5sb4uLi4OTkpOXI+rKxselTHlMT6paMuLm5CR573759CAkJ6fegoFAocOrUKaSkpPR7k2BqaorY2FjMnz9f6zPLnp6e2LRpE5qamlBRUYHu7m6YmZnBy8tL8IOFVCpFVFQUoqKiBMclFovh6+uL/Px83ktt5HI58vLy+uz9YBgGCQkJ+PbbbzmPY2hoiOhoqk5CCCHDgZJ8oleKi4tRXV3Nq09qaqpOk3wfHx84OjrySqAtLCzw+uuva+0tABdRUVE4fPiwxuOIxWJERkaqbOPp6QlXV1dUVlbyHr+zsxP/+te/sGXLlgez2nK5HP/7v/+LK1euDNinvb0dycnJuHLlCl566SXOM+t8WFlZwcrKSuvjakroZuWKiop+12JiYpCamsr5a3nevHm0XIcQQoYJbbwleiU7O5t3n4sXLwpeI86FSCRSu+nyUYmJiUOa4AP3qr8IXUbzsLCwMLVJNMMwGq2tv3TpEtLS0h78et++fYMm+A+rqqrCRx99JOgQsNFK6FK0mzdv9rtmZGSEbdu2cTrwLDExEUlJSYLuTQghRHOU5BO9Ul9fz7uPUqlEY2OjDqL5P/Hx8SrXkT8sMDAQ8+bN02k8A7GwsMCqVas0GsPe3h4rVqzg1DYqKkpQvfleP//8MxQKBWpqanD69GnO/crLy3Hx4kXB9xWCZVm0tLSgtrYWLS0tQ1rOVUhZTeDeA9FAy97s7Ozw2muvYdasWQNuxvXw8MCGDRt0vteFEEKIarRch5AhIBKJ8Nvf/hZWVlY4derUgDPJIpEI06ZNw8qVK4d8Fr9XXFwclEolvvnmG94bccePH48tW7bA3NycU3uGYTB37lxcuHBBSKhoamrCpUuXUFLC75h64N4SrdDQUEH35UMmk+H06dNIT0/vc2Kvq6srEhISEBkZCUNDQ53GEBAQALFYzPvthVwuR1NT04APCWZmZnj88cexaNEiFBYWorm5GVKpFOPGjYO7u7u2QieEEKIBSvKJXrG3t0dpaSmvPiKRCDY2NjqKqO99li9fjjlz5iAzMxOFhYXo7OyEoaEh/Pz8EBcX9+AE0+GUkJCAwMBAZGRkICsr60EZRnNzcwQFBaGnpwfFxcVob2+HoaEhvLy8kJiYCH9/f97lSF1cXGBoaCi4BntxcTEKCgoE9evp6dHK8qTB1NTUYMeOHQO+XaqsrMS+ffuwf/9+zJ8/HzNnztR6ss+yLNra2tDd3Q1TU1NB5TTVPRgYGBggODhYaIh9KJVKFBYWIjMzs09lpMjISISFhemkOhIhhOgzSvKJXomJieG1dAMAQkJCYGpq+uBk2ry8PLS1tUEikcDNzQ3x8fGYMGGC1mK0sLDA/PnzMX/+fK2NqW22trZYvHgxFi9e/GDJhoGBgZpe/BkZGSEyMhLp6emC+stkMnR2dvLux7IsZDKZzsqRNjY24r333lN7QqxcLsfhw4dx/PhxrFixArGxsRrfu62tDVlZWUhPTxe0fK0XwzA62aA8kNu3b2P37t39ynNWV1ejoKAABw4cwOrVq7X2QEEIIWMBJflEr/j4+PCu2pKYmIjU1FR8//33/WaUb926hezsbHh7e2Pjxo0jsnqKrukiuX/Y9OnTkZmZKahOv7GxMYyMjAQdOKbLZTKHDx9Wm+A/TCaTYe/evZDJZJg5c6bg+5aWlmLnzp0DHqTFV2BgIExNTTUeR51bt27hnXfeUfmw1trail27dmHjxo0ICwvTeUyEEKIPaOMt0SsMw2D9+vUwMjLi1H7WrFm4fv06vv76a5VLRkpLS/H2229r9fRaco+LiwuefvppQX0DAgLg6+vLu5+np6fOln+0tbUhNzdXUN/vvvtuwKo2XFRUVGD79u1aSfCBe8u2dE2pVGL37t2c3sawLIs9e/bwengihJCxjJJ8ondcXV3xhz/8QeX6doZhMH/+fISEhODQoUOcxq2vr8fevXu1FeagFAoFzp8/j2PHjuHw4cNISUnR+4eL2NhYTJo0iVcfe3t7BAQECEpGdZnAnj9/Hj09PYL6siyLlJQUQX3VPajyERYWhsDAQK2Mpcrly5dRW1vLub1cLkdGRoYOIyKEEP1By3WIXnJ3d8ff/vY3nD9/Hmlpabh9+zbkcjksLS0RHh6OuLg42NnZ4ZNPPuE17pUrV1BTU6Px6bMsy6K4uBjl5eXo6emBmZkZAgMDkZOTM2BSv3//foSGhmLJkiWcapSPRitXrsQ//vEPyGQyTu0XLlwIkUgENzc3BAcHcy6L6eTkpNMlH5o+kADkPdEAACAASURBVOXm5mLFihUDlqccTEVFBa5fv67RfXtNnToV69atG5Lyl0IS9szMTCxYsIDKcxJCiBqU5BO9JZVKERERgYiIiAE/b2trQ35+Pu9xMzMzsXz5ckExsSyLrKwsJCcn8zoBV6lU4ty5cygqKsJLL70EV1dXQfcfyRwdHbF161Z89NFHahP9pUuX9vl7/e1vf4v3338fN27cUNnP1tYWzz//vE4rtWiafPb09KC+vp5XKcqzZ89qdE/g3hKmKVOmIDo6esgq2fA9nRq4VzpVJpPRSbqEEKIGJflkzKqrqxN08qmQxAS4l+B//fXXfU5q5autrQ3bt2/H66+/PiSbIoear68vXn31VRw7dgz5+fn9/n68vb0xb948BAUF9bkuEomwePFipKWl4erVq/2WrUgkEoSHh2PJkiWwtLTUOE6lUonS0lI0NjZCJBLB0dERbm5uYBhmwAOk+OL7dSn07UFoaCiuX7+OpqYmXL9+HdevX8fhw4cRGhqKmTNnarWq1ECEbLYG+P/5EELIWERJPhmzhCYKQvslJydrlOD3am5uRlZWFubMmaPxWCORs7Mzfve736GlpQVXr159UI/f09MT48aN69O2oaEBJ0+eRHZ2Njo6Oh5cNzQ0xLhx4zB+/Hg4OzsjLCyMc7nMW7duISMjA1VVVVAoFLC0tERERASCg4OhUCiQkpKCtLQ03L17t08/d3d3zJgxg1dlp8HwfRDhez5Br4HeZCkUCuTm5uLcuXN48sknER8fL2hsLiwtLdHQ0MCrj1Qq1eosfmtrKwoLC9HR0QFDQ0N4e3vD3t5ea+MTQshwoSSfjFlCy2EK6dfd3Y2ff/5Z0P0GkpaWhlmzZglO7kYDCwsLREdHD/p5aWkpPvzwwwErs3R1deH69euora3Fc889xynBb2xsxJ49e3Dt2rV+n50/fx6WlpYwMjIadJlVRUUFPvvsM40TUG9vb96Hs2m6R2QgLMti3759MDU11dkehsjISLVLrB4VHh6ulROha2pq8NNPPyEvL6/fRumAgAAkJSUJqtxECCEjBSX5ZMyys7ODp6cn7w2LkZGRvO+Vm5sr6NCmwdTX16OhoWFUbsJtb29HdnY2zpw5g8bGRjAMA0dHR8TGxiI8PJxTXf6qqirs2LFD7dr93uVNr776KhwdHQdt19jYiLfeekvlrHJzczOnZTGa/j0LqfwTExODH3/8UfDyF1W+++47hISE6OSBMioqCocOHeJVFUgblZGuXbuGnTt3Dvr1U1BQgMLCQp2/ySCEEF3S32lAQjjgmzA4OjrCz8+P930KCwt591FHW+USh9Lp06fxyiuv4MCBA6isrER7ezva2tpQVlaGvXv34rXXXhtwJv1Rhw8f5lyFp6OjAz/++GOfa3K5HPX19airq4NMJsMnn3zCe9mILgQGBmLq1Km8+1lZWelstr2xsRGXL1/WydjGxsZYtWoV5/bTp0+Hh4eHRvesqalRmeD3YlkWX331FeeqTYQQMtLQTD4Z08LDw5GTk4OrV6+qbSsWi/H0008LmtHkmpDyMdqqi2RlZak9Z6CtrQ0ffPABXnjhhUEfphoaGngnXvn5+WhpaUFbWxtSU1Nx5syZBw9JDMOAZVle4+lCUFAQNm7cKHjG/IknnkBlZaXgjeGq5OfnIzg4WOvjAvfeQsjlcnzzzTcq30QkJiZixYoVGt/vl19+4fz9yLIsjhw5gsmTJ1PJTkLIqENJPhnTxGIxNm3ahI8//ljlbKWBgQE2bdokeI2uthNyJycnlYd9jTQNDQ3Yt28fp7YKhQIff/wx3njjjQFLOV68eJF3Uq5QKLB//36cO3euX9+RkOAvX74cM2fOFJTgt7S0IDMzE7m5uWhuboZYLB50c7hIJBK0pEdbp+gOJiEhAf7+/khLS0N2dvaDJU8SiQShoaFISEiAt7e3xvcRchpxZWUlysrKtHJ/QggZSpTkkzHP0NAQzz77LL744gvk5uYOmCBZWVlptN7Z398fOTk5moTZh5ubG65fvw5PT89RMcOYnp7OqypRa2sr8vLyEBUVNeBnQvBN7oZKfHw8Zs+eLajvqVOncPDgwUFP2BWLxbCwsIC1tTWmTJkCFxcXfPjhh7zvMxR18xUKBVxdXbFo0SKIxWJ4e3vDzs6O0x4NroqLiwWdRnzlyhVK8gkhow4l+WTMUyqV+PLLL3HmzJlB29TW1mLnzp1YvXo1YmNjed8jPDwcBw4c6FPmURO5ubnIzc2Fi4sLpk+fjmnTpo3YSju9B4DxlZGRAUdHR3R3d8PMzAzOzs4QiURaTfp0ycrKCl1dXWo34qanp6O6uhqzZ8/mtSTm+PHj+P7771W2USgUaG9vx5YtW+Du7o7Ozk5IpVLI5XLO9wGA8ePH82rPx8WLF5GcnIzS0tI+1w0NDREZGYmkpCTe1YYGI/T7T1vft4QQMpQoySdj3okTJ3D69Gm17ViWxZdffgknJyd4eXnxuoeBgQHmzZunNinjq6qqCvv27UNxcTHWr1+vldKC2tbV1YWWlhbe/UpLS/Hmm28++LWDgwPi4+Ph7OyszfB0xtXVFRKJhNPyopKSEpSUlOCxxx7DwoUL1Y5dWVnJ+Wupu7sbH3/8Mf7yl7/A2NgYERERvB66JBIJYmJiOLfn48cff8TRo0cH/Kyrqwvp6em4cOECtm3bBjc3N43vZ2hoOKT9CCFkOI2YqT+GYVwZhvk3wzBVDMN0MQxTzjDM+wzD8Fp4zDCMzf1+5ffHqbo/rquuYiejl1wux4kTJzi3VyqVvNo/bM6cOUhMTFTbTsjym9zcXBw4cEBAVKNHbW0tDhw4gEOHDsHW1na4w1HrypUruHDhAq81/8eOHUNKSoradnwPVautrUVBQQEAYObMmbweBqOjo2FhYcHrflykp6cPmuA/rKWlBTt27BB8qu/DvLy8BH1/Ub18QshoNCKSfIZhvADkAVgPIAfAewCuA3gBwGmGYTj9H/1+u9P3+5XdHyfn/rh5DMN4aj96MpqdP3+e9xrvixcvorGxkfe9GIbBqlWrsGbNmgFno0UiEaysrARvBE1JSREUl64ZGhrCxMREa+NVV1fzXm4ymvz444/o7u4e9HO5XI6zZ8/yHrd39n7cuHFYu3Ytp2TXx8dHKxVtHtXT09OvrKkqzc3NnB5+1LGxscHkyZN59bG1tcWkSZM0vjchhAy1kbJcZycABwDbWJbd0XuRYZh3AbwE4L8BPMthnH8A8AXwHsuyv39onG0APrh/n3lajJuMcmVlZbz7KJVKlJeXC6puwzAMYmNjERMTg5KSEty8eRNyuRwsyyIlJQVNTU28x+zFsiwyMjI4LffQpcbGRmRkZODGjRuQy+UwNTWFh4fHg5lkbWhpaYGHhwfKy8vVthWyBn04tbe3Iy8vb9DTfpubmwWdkVBbW/vg55GRkTAxMcH+/fv7XO8lkUgQGxuL5cuX62QPxPnz53kv4crMzMSCBQsgkWj2v625c+fi8uXLnDfSJyUljdj9LoQQosqwJ/n3Z9fnACgH8NEjH78O4BkAqxmG+QPLsoPWcWMYxhTAagDt9/s97EPce1iYyzCMJ8uy/I44JXpLaPKn6UFUDMPA19cXvr6+kMvl+Otf/yq4aszDLl++PGxJfldXF7766ivk5OTo5OTVRzU3N2PRokVITk5Wubl1NCX4vS5dujRokq8tQUFBmDRpEoqKipCfn4/W1lZIpVKMHz8e0dHRMDMz09m9uZxL8ajW1lZUVFTA01OzF7JeXl5Yu3YtPvvsM7VvzWbPno1p06ZpdD9CCBkuw57kA5hx/8dklmX7ZAYsy7YyDJOFew8BUQBOqhgnGoDx/XH6ZEssyyoZhknGvQeG6bi3FIgQwctITE1NtRbDuXPnBpxNFWK4qoB0d3fjgw8+EPRmRKjGxkb4+fkhJiYGb7zxhkZvQUYaVX+PFhYWkEgkvEtBDvTmSSQSISAgAAEBAbxj1MRwV7mJioqChYUFDh8+PODbIHt7e8ybNw+xsbGjokQtIYQMZCQk+b3HWhYP8nkJ7iX5vlCd5HMZB/fHUYthmLxBPvLn0p+MDpMnT+a9kdbIyAg+Pj5ai4HvJkpVjIyMtDYWH999992QJvi9WltbkZqaqlcJPqC6mouBgQFCQ0N5n7ugqwo5QgitVqPNr+/eh5vy8nJcvnwZHR0dMDQ0hLe3NwICAmiJDiFk1BsJSb7l/R8HK53Qe91qiMYhY4iPjw9cXFxQVVXFuU90dLTWkg2FQoEbN25oZSwAw3JgT1tbG6cSpA+zt7fH3bt3NV7W093djXPnzmk0hjYJPVH2UepKtCYmJvJK8q2srHjV4Nc1Hx8f3g8pRkZGcHXVfpE0Dw8PeHh4aH1cQggZbqNhqqL3XammZ8/zGodl2bCB/gNQpGEcZARhGAZLly7l/Ere3Nwcc+bM0dr9NV3b/6iEhAStjsfFmTNneK97r6ur0zgZFolEuHXrltbW/1tYWGDZsmWC+wcGBiIoKEjjOHo3vari5eWFWbNmcRpPJBJh3bp1I+oMhYiICN4PylFRUcP2pooQQkajkTCT3zvDbjnI5xaPtNP1OGSUYVkWRUVFuHHjxoPTUYODg2Fvb8+pf1BQENasWYMvvvhCZcJobm6Obdu2ae30TeDe7CTDMILLZj5sypQpcHFx0UJU/FRWVg75PQEgODhYcMlQX19fdHZ2gmVZWFlZISoqCiEhIRCLxSgsLORcCcjc3BxxcXGIjo6Gg4MDSkpKcPHiRUEx9YqPj+e06XXZsmUQi8U4fvz4oG0YhsHkyZNhaWkJuVwOiUQyItaYGxkZYebMmTh27Bin9gYGBpgxY4b6hoQQQh4YCUn+tfs/DrZWvnfx82Br7bU9DhklWJZFVlYWkpOTcefOnT6fHThwAJMmTcKiRYvg7u6udqyYmBg4OTnhxIkTuHDhQp9k38jICDExMZg9e7ZWE3wAuH37tlaS/AkTJmD9+vVaioofvhtAtYFhGMyaNQsn///27jwuquvuH/jnDLts4gq4REUQ3AVZFHRQE3fjGrVqmpjNPFFTnyw/TZMnfdpX27yaNmkWUzVt0sYYsxlj06jRRGUV1CAoBoSo4C5uiCCLMHN+fwzwoCwz984Ms/h5v168CHPPOfeL3MB37j3ne/a0tUyndRMnTmz1rvtTTz2Ft99+2+g0qvvuuw+/+tWv7liE3b9/f5NLe7ZkyJAhmDdvnkltNRoN5syZg7i4OOzbtw/79+9v9rOQUiInJwc5OTkADNfyyJEjodVqTfr/wpqmT5+Oy5cv49ChQ222c3Nzw7Jly9C9e/d2ioyIyDnYQ5LfsMPJRCGEpmmFHSGEL4B4AFUAMo2Mk1nfLl4I4du0wo4QQgPD4t2m5yMHJqXEF198gb1797Z6/NixYygoKMAzzzxjUvWQfv36YdmyZSgtLcXp06dRU1MDb29vhIaGWmVbe51Oh/Xr15s13cTT0xPx8fGYNWuWVeqZm8LX17fdzzl//nz0799f9Xx8f//WHvgBXl5eeO6557Bz506kpqY2K23q6+uLhIQETJkypdl1IYTAsmXL8Prrryt6yuDt7Y3ExERMmzZN8bSawMBAVFVVmfRmq7q6GmlpaUhLS8PYsWOxcOHCdpvGI6VsnNbl7u4OjUaDxx57DL169cKePXta3NF2wIABmD17Nvr27dsuMRIRORObJ/lSypP15S0nAlgO4N0mh38LwBvAhqY18oUQ4fV9jzcZp0II8TEMZTL/F8DzTcZZAaAPgF2ske8c9uzZ02qC31RtbS3WrVuHV155xeQ7gQEBAao2ulLqyJEjuHr1quJ+wcHBGDRoEAIDAzFy5Eibz1MeOXKkST8LS/Dz88O8efMQGxsLwDC3W+lOqIGBgejVq1ebbdzd3TFz5kxMmzYNx44dw5UrVwAYdj8dMmQI3NzcWu3bqVMnrF69Gh999BHy8/NbbOPj44P+/fujc+fO6NWrF6KiolS/SUtLSzN6N7wlKSkpqK2tNXn3W7WuXLmClJQUZGRkNL5h8vf3x+jRozF27FhMmjQJ999/P44cOYLTp0/j9u3b8PX1tdn0MyIiZ2HzJL/eMwD2A3hHCDEBQD6AWBhq2hcCePmu9g1/Oe/+y/RrAIkAnhNCDAdwEEAEgJkALsPwJoIcXG1tLb777juT29++fRs//PADFi9ebMWolEtNTVXcx93dHS+//LLZu35aUseO7VOwqmfPnnj++efv2Nugb9++6NWrF86ePWvyOFqt1uSk1tXVFcOHD1cca0BAAFatWoULFy4gLS0NJSUl0Ol0CAgIQFxcHMLCwiySWEspzXqDlZGRgaioKIssGG7JDz/8gC1btjSbjlZWVoadO3di165dWLRoEcaMGYPIyEhERkZaJQ4ionuRXWQK9XfzRwL4HYDJAKYCuAjgHQC/lVJeN3Gca0KIUTDseDsLwBgA1wD8E8CrUkrbrBAki8rOzla8O+yBAwcwZ84ceHl5WSkq5ZSU7Wxw+/ZtiyzSNUdtbS2OHj3a+BTi9u3bqsZRWm7y3LlzWLNmDeLi4jB+/HgEBgZCCIFFixbhzTffNKnCT9++fTFmzBhV8aoRHByM+fPnW238kydP4uLFi2aNkZycbJUkf+/evfjyyy/bbKPX67Fp0yZoNBqjFYWIiEgZu0jyAUBKeRaASSsHpZSt3gKrf0Pwq/oPckIFBQXGG92lpqYGxcXFiIiIsEJE6uh0OtX92pouYi3V1dXYvn070tPTcevWLeMdjOjVqxdOnz6tqE9NTQ2Sk5ORlpaGpUuXIjo6Gv369cPy5cuxbt26NkuShoSEYPny5Tb5t7OWS5cumT3GsWPHcPPmTfj5+RlvbKLr168bTfCb+vTTTzFs2DCTqgoREZFpHKFOPtEdqqurVfWrqqqycCTmaWvxZ2s8PDyssgjYmFu3buGNN97A7t27LZLgA4aFzo8++qiqnUV1Oh0++OADHDt2DABQWVnZ5lMBIQQiIyPvqIRjT6SUqKurU/yURu0bxbvPrbYUaWtSU1MVPaWpra1Fenq6RWMgIrrX2c2dfCJTqZ1y03Qutz2IiYlRXGM+Ojq63eucSymxfv16nDlzxqLjxsXFoU+fPujfvz9SUlIUPyGQUuLTTz/F3Llz8fe//73NBFlKiS+//BJCCEyYMMES4ZutYX+H5ORkHDt2rLGOfWhoKBITEzFkyBCjlW8stR7C0teU0h2QG/pMmjTJonEQEd3LeCefHI4p5TDv5unpaXdb18fHxyteQGuLHW2PHz+OwkLLbi/Rp0+fxp9H165dMXfuXLz++uvo1q2bonGuXr2Kf/7znybfAd+yZYuqikaWVllZibfeegtvvfUWsrOzG9cT1NXVIT8/H+vWrcMf//hHo3fYBw4caPYUF41GY9H9H/R6vaonA9evm7T0ioiITMQknxzOsGHDFN/BHDVqlM1LTd7Nx8cHc+fONbn9+PHjbbKBUUpKikXH8/DwwJIlS5q9XlJSgsuXLyseT8nCX71eb/HvR6nbt2/jnXfewfHjx9tsd+7cObzxxhttLjJ3c3Mze8HqiBEjLD4XXs2TAXvYiZeIyJkwySeH4+LigunTp5vc3svLC/fff78VI1Jv/PjxmDNnjtF2Wq0WDz30UDtE1FxeXp7FxvLx8cGqVatarFOvtGKSWvv372+X87Rm165dRnfTbXDlyhVs3bq1zTaTJ09GUFCQ6ngSExNV922JRqNB165dFfdT+hSHiIjaxiSfHNKYMWMwdepUo+08PT2xYsUKdOnSpR2iUmfSpEl45ZVXkJCQcMeGSBqNBlFRUXjuueewaNEiVQtUzSWlVLXQWQhxR7xBQUFYsGABfv/736Nfv34t9mmv2v/l5eWqy36aS6fTKd4f4dChQ6ioqGj1eIcOHVp942TM5MmTERYWprifMQkJCe3Sh4iIWseFt+SwZs6ciZ49e2LXrl3NSjG6uLggMjIS06dPR2BgoFXjOHPmDI4dO4aqqip4eHggNDRU8WZHvXr1wsMPP4wFCxagrKwMer0efn5+Nq/rL4SAp6en4kTf29sbr7/+OqqqquDu7m7Sbq6BgYFwdXVFXV2d2nBNZqupIXl5eSgrK1PUp7a2FllZWW2ux+jYsSNWr16Nw4cPIzk5GSdPnmxzTI1Gg+nTp5v0RlmN+Ph4fPvttya/mfLy8mrcxZiIiCyDST45tKioKERFRaG4uBhFRUW4ffs2fHx8MHjwYFUlKpXIy8vDN9980+LUi6CgIEydOhUxMTGKxnR3d1c11cGawsPDkZOTo7iPi4uLornePj4+iIyMxMGDB5WGqIi/v7/NauVfu3bNav3c3NwQGxuL2NhYVFVVoby8HCdPnsTBgwdx7tw51NXVwc/PDyNHjkRCQgICAgJUxWIKHx8fLF26FO+//77RRdEajQZPPvmkzdfM3Lx5E5cuXYJOp4O/vz+CgoK4ToCIHBqTfHIKTau1tIeMjAx89NFHrSYwFy9exAcffIDLly8rWj9gj7RareIkX20VoAkTJuDQoUNW3dXXkjur1tbWIjs7G+fPn29MoqOiolqdHqY2aVTaz8vLC15eXujWrRtGjRql6pzmioyMxLJly/DRRx+1ukeFt7c3Hn/8cQwaNKido/s/hYWF2Lt3L44cOXJHbf+ePXtCq9Vi1KhRTrWBGhHdO5jkEyl04sQJbNy40aRE9D//+Q+6deum+I6+PQkPD0dISIjRKSANBgwYgNDQUFXn6tOnD37xi19g8+bNqvqbwhK7Hut0Omzfvh1JSUnNavt//fXXGDx4MObNm9dsqpjapzSWerojpURxcTGuXLkCAOjcuTP69etntTvWI0aMQEREBA4ePIj9+/c3PpHo2rUr4uPjER0dbdJULmvZsWMH/v3vf7d47Ny5c/jkk09w4MABLF++3O722SAiMoZJPpFCO3fuVLSb5/bt222yiZWlaDQa/Nd//Rfeeusto5t39e7dG8uWLTPre9VqtfDy8sKXX36Jmzdvqh6nNTk5OWYtNq2trcW6devw008/tXhcSonc3FycOHECv/rVr9C3b9/GY+Hh4ejcubOiaTseHh6IiopSHS9gKB2alpaGffv24cKFC3cc6969OxITE6HVao1uvqWGp6cnxo4di7Fjx1p8bHPs27ev1QS/qRMnTmDdunVYtWqVVf59iIishdV1iBS4evVqq8lday5duoSCggIrRdQ+fH198cILL2DChAktLgbu0KEDHnjgATz//PPw9vY2+3wxMTF47bXX8OSTT2LEiBEWrSxk7sZeX3zxhUnXQFVVFdauXXvHGxWNRqN4KlNcXJxZC7Bra2uxfv16fPLJJ80SfMCwP8Hnn3+Od999FzU1NarP40iqq6uxbds2k9sXFhYqnrJGRGRrvJNPpMDPP/+sar54YWEhwsPDrRBR+/Hy8sL8+fMxc+ZM5OTk4OrVqxBCoEuXLhg+fLjFp124urpi5MiRjfPeLcWcRPbGjRtIS0szuX1FRQXS0tLuqGIzYcIE5OXlGd0MCwB69OiB2bNnq4q1waZNm3DkyBGj7fLz8/HGG2/gxRdfdPo56AcOHFBcMSopKcnsJypERO2Jd/KJFFBTM96cfvbIw8MDsbGxmDZtWmMFIWvOqz5w4IBFxzNnbnVqaqqiqVqAYcfgpn1cXV2xfPlyREZGttkvNDQUzz33nFl38c+dO4fMzEyT258+fRqvvPIKLl26pPqcjkDNm8bCwsI29ysgIrI3vJNPpIDahIuL9tS7ceOGRcczp5LLzz//rLhPaWkprl69eseOru7u7li2bBnOnDmD5ORk/PTTT6isrISHhwcGDBgArVaL/v37m72OIzk5WXGfGzdu4M9//jPWrFljd+VcLUXt7soVFRWKysISEdkSk3wiBSIiIqDRaBTfzbVliUBHZ8nFjhqNBmPGjFHdX+1Un9b69e7dGw8//LDqeIw5evSoqn4VFRX45JNPsGrVKgtHZB/UTkdy9mlMRORcOF2HSAF/f38MHz5cUZ/evXu3aw1/Z9O9e3eLjZWYmGjWJlBqn+TYaufiyspK1X3z8/OddtrOfffdp7iPn58fOnbsaIVoiIisg0k+kUJTp041+Y6eEAIzZ8502PKZ1qTT6XD48GH85z//wbZt27B3716UlZU1a2fOnfemoqOjMW/ePLPGGDx4sOI+QUFB6Ny5s9F2V65cwcGDB5Geno6cnByLrOMwd61ERkaG2THYIzXlPBMSElhCk4gcCqfrECnUq1cvLFu2DBs2bEBtbW2r7YQQWLx4sarE0JnpdDrs2rUL+/bta1YH/8svv8SIESMwe/bsxvng4eHhCA4ObrH8oymCgoIwbtw4jBkzxuxSnKNGjcK2bdva/LnfTavVtvkmLy8vD99//z3y8vLueN3T0xNxcXGYNGkSOnXqpCrekJAQkyrrtEZJPX9H0qNHDwwaNMjkcrju7u52V+efiMgYJvlEKgwZMgSrV6/Gjh07kJOT02yO/sCBAzF58mQMGDDARhHap7q6Oqxfvx65ubktHtfr9cjKykJBQQFWrVqFXr16QQiBp556Cn/+85+b7S7bknHjxiEoKAguLi4IDAxESEiIxZ6keHt7Y9KkSfj2229Nat+tWzeMGjWq1ePff/89tmzZ0uKx6upqJCUl4fDhw3j22WfRq1cvxfFqtVqzknxnfgL12GOP4S9/+QsuXrzYZjsXFxcsW7bMrGleRES2INTU/L6XCSGyIiMjI7OysmwdCtmJ0tJSHD9+vLE6SmhoqEXnkTuTzZs3m1zxxd/fH7/5zW8aN9e6ePEiNmzY0GpS5uXlhUWLFiEmJsZi8bZEr9fj008/RUpKSpvtunTpglWrVrVaoebAgQP48MMPTTqnn58fXnnlFfj7+yuO9bXXXsOZM2cU9WswZcoUzJo1S1VfR3Dr1i1s2rQJ2dnZLe5/ERwcjEWLFiE0NNQG5maJgQAAIABJREFU0RERAVFRUTh8+PBhKaXijTqY5CtkqyS/rq4O2dnZOHDgAEpLS6HRaBAYGIiEhASEhYU59R03cg43btzASy+9pKgy0Zw5czBp0qTGr/V6PY4fP47U1FRcvHgROp0OHTt2RGxsLKKjo+Hh4WGN0JuRUuLAgQP44YcfcPbs2TuOeXl5YfTo0ZgyZQp8fX1b7K/X6/Hyyy/j+vXrJp9z0qRJmDNnjuJYS0tL8Ze//AVXr15V3Pf3v/+905bRbOr69etIT0/HhQsXoNPp4O/vj+joaISGhvJ3KxHZlDlJPqfrOIDc3Fxs3Lix2fzlM2fO4ODBg+jZsyeeeOIJBAUFGR2ruroa5eXlcHFxgb+/PxeSUbtJS0tTtZHUAw880DiXXqPRYODAgRg4cKA1QjSZEAJxcXGIjY3F6dOncf78edTW1sLf3x+DBg0yuuA1NzdXUYIPAOnp6ZgxY4biMo4BAQFYvXo11q1bh1OnTpncb/DgwfdEgg8AnTp1wowZM2wdBhGRRTHJt3PZ2dl4//3320yOzp07h9dffx0vvvgigoODmx2XUiI/Px9JSUk4evRo42Npb29vjB49GomJiejSpYvVvgciACgoKFDc5+rVq7h+/brdXp9CCPTp00dxidRjx44pPldFRQWKiooQFhamuK+fnx9efPFFbNiwATk5OUbb+/v7Y/HixYrPQ0RE9oMlNO3YjRs38MEHH5h097OyshLr169v1ra2thYffPAB3n77bRw5cuSOeae3bt3C999/j1dffRUHDx60ePxETaktCal2Ayp7ZsoC4paYU/deo9HgqaeeMlqSNCgoCC+++KLqij5ERGQfeCffjqWmpioq1VdSUoK8vLzGko1SSnz00Uc4dOhQm/10Oh0+/PBDuLu7K97oichUjraRlDWpXTtg7poDFxcXLFmyBOPHj0dKSgqys7Nx69YtuLm5oW/fvtBqtRgyZIjZpUaJiMj2mOTbKSkl0tLSFPdLSUlpTPKPHTtmNMFver5NmzZh8ODBcHXlZUGWN2jQIMVTdgIDA52ydGH//v2xf/9+RX3c3NzQu3dvi5w/ODgYCxcuxMKFCy0yHhER2R/errFTlZWVuHHjhuJ+TcsLmlqqsEF5eTmys7MVn5PIFPHx8YrfQBrbSMpRRUdHK35CER0d3VhOlIiIyBgm+XZKp9OZ1e/WrVuqFvcdOHBA1XmJjPHx8cGECRNMbt+1a1eMHj3aihHZjru7O+6//36T27u6uprcvra2FtXV1S3WfScionsH52XYKW9vb7i6uqKurk5Rv4bNcsrLy1X9kS8rK1Pch8hUs2bNQllZGTIzM9ts16lTJ6xcuRKenp7tFFn7mzp1KkpKSowuendxccHjjz+OHj16tNqmoqIC6enpSEtLw+XLlwEY5u9HR0dDq9VabJoPERE5Dib5dsrFxQVRUVGK76w37PapduEc6+aTNWk0Gjz66KMICQnBnj17cOnSpTuOe3h4IC4uDtOmTVO8u6uj0Wg0WLp0KXr06IE9e/Y02wcDAPr27Ys5c+a0WTbzp59+wvvvv9+selFNTQ3S0tKQlpaGxMRELFiwgAtqiYjuIUzy7ZhWq1WU5DckSIBhAxxPT0/FZQtN2VCL7INer0deXh6Kiopw+/Zt+Pj4YNiwYQgMDIRer0dNTQ08PDzsLrETQmDs2LEYM2YMfv75Z5w/fx46nQ5+fn4YMmSIU1bTaY1Go8HkyZNx//33Iycn546f5YgRI4zegS8oKMB7771ndHpfUlIS9Ho9Fi1a5JRrHIiIqDkm+XYsJCQEY8eORUpKikntFyxY0Jggubm5IS4uDklJSYrOaayGNtmelBLJycnYvXs3rl27dsexrVu3okOHDqiqqoKUEkIIhIaGIjExEcOHD7erJzVCCISFhTW7S33lyhUUFxc3Jrvh4eFml460d66urhg5ciRGjhxpch+dTod//etfJq/fSUlJwciRIzFgwAC1YRIRkQNhkm/nFi5cCL1e32Y5TSEEFixYgPj4+DteHzduHFJSUkzaTAsA+vTpg759+5oVL1mXlBKbN29u841f0w2TpJQoLCxEYWEhevbsiRUrVthtScr8/Hzs3r0beXl5d7zu6emJ0aNHY+LEiXYbuy3k5ubi+vXrivokJSUxySciukfY13N8aqZh85rnnnsOkZGRd0y98PDwQGJiIl599VWMGzeuWd/AwECTt6b38/PDk08+yUf5du777783+cnO3c6dO4c333wTFRUVFo7KfN9//z3eeuutZgk+YNgpd+/evXjttddw/vx5G0RnnzIyMhT3ycnJQVVVlRWiISIie8M7+Q5ACIEBAwZgwIABqK6uRllZGVxcXODv7w83N7c2+yYkJMDd3R2ffvrpHXd4m+rduzeWLVuGLl26WCN8spDa2lp89913Zo1x+fJlfPPNN1i0aJGFojLfgQMHsGXLFqPtysrK8Pbbb+Pll1+260W5UkpUV1ejtrYWHTp0sNrmcqWlpYr76PV6lJWV3VPrHoiI7lVM8h2Mp6en4rKCMTExGD58OA4dOoRDhw41vkno0aMHxowZg5CQEN7BdwBZWVm4deuW2eNkZmZi9uzZdpHo6XQ6fP311ya3Lysrw759+zBr1iwrRqXOrVu3kJGRgZSUFJSUlAAwLKwdMmQIEhMTER4ebtFF0Gr/n+X/60RE9wYm+fcId3d3xMfHN5u3T46jsLDQIuPU1NQgJycHo0aNssh45sjNzVV8RzotLQ3Tpk0z+hSrPZ06dQrvvfdes6lQer0eR44cwZEjRzB06FA88cQTFltE3K1bNxQXFyvq4+bmho4dO1rk/EREZN84J5/IQSgth9qWu6vy2Epubq7iPuXl5Th9+rQVolHn7NmzeOutt4yudTh69CjWr1+vejfruyUkJCjuExMT4/SVioiIyIBJPpGDsOT0Gnupnd/aOhFjLDFtyVI2bdqEmpoak9rm5eWpWjDbkrCwsDZ3wW1JYmKiRc5NRET2zz7+0hORUYMGDbLYWN26dTN7DL1ej8LCQmRmZiIzMxNFRUWQUioaw93dXdW57eVudHFxseIpM0lJSYr/nVoihMATTzxh8pu/2bNnG91ci4iInAfn5BNZUUVFBYqKilBTUwMvLy+EhIQoXjjdYNiwYejYsSNu3LhhVkwNO+OqVVtbi7179yI5ObnZtJ/g4GCMGzcOCQkJJj0tCAkJQWZmpqLzazQadO/eXVEfa1GyI3WDs2fP4uLFiwgODjb7/MHBwXjxxRfxt7/9DVevXm2xjaurK+bOnYvx48ebfT4iInIcTPKJrOD8+fPYvXs3fvzxR9TV1TW+7unpidjYWEycOFFxyVIXFxfMmDEDH3/8sVmxjRkzRvWi1aqqKqxduxYnTpxo8fiFCxfwySefIC8vD0888YTR8pExMTH46quvFK030Ov1WL9+PZ599ll4e3srit/S1JSxbOhniSQfAHr06IHf/e53yM3NRUpKCi5cuIC6ujr4+/sjJiYGo0ePhq+vr0XORUREjoNJPpGF5eTk4O9///sdyX2D6upqJCcn49ChQ1i+fDn69++vaOyEhATcuHED//nPf1TFFhISgqlTp6rqq9frsWHDhlYT/Kays7Px6aef4uGHH27xuJQSxcXFOH/+PEJCQvDTTz8piqW4uBjr16/Hf//3f9t0fYHac1s6ZhcXFwwfPhzDhw+36LhEROS4mOQTWdDJkyfx/vvvG62gUllZibVr1+Kll15SPPVk+vTp6NmzJ3bt2oVTp06Z3G/YsGF47LHHVM+DP378OPLz801un5aWhokTJ97x/UkpkZmZiT179uDs2bOq4mhQWFiI48ePY+DAgWaNYw6104YssSaCiIioLUzyiSxo27ZtJpdIrKqqwo4dO7B06VLF52m4a3v27FkUFRXh9u3b8PHxQadOnXDo0CHk5+ejqqoKnp6eCA8Ph1arNXvRZXJysqo+8+fPB2BI8Ddv3oyUlBSz4mgqKSnJpCT/xo0bOHXqFGpqatChQweEhYVZpFpRfHw8du7cqWgh7cCBA9G5c+c7XisuLsaxY8dQWVkJDw8PhIaGWnzzLCIiurcwySeykAsXLijesOrHH3/EQw89BB8fH1Xn7NWrF3r16nXHa2FhYarGaoter1dV0/7o0aONSf727dstmuADwE8//QQpZau7uBYVFWH37t3IycmBXq9vfN3DwwMxMTGYNGkSunbtqvr8Xbp0wdChQ3HkyBGT+zRdAJuXl4dt27a1WPe/W7dumDp1ql1sWkZERI6HST6RhShJ9BrU1dVhz549qK6uRnl5OVxdXXHfffchNjYWHTp0sEKU6ty+fVvVJk4NdfArKyvx3XffWTos1NXVoa6ursWFxJmZmfjoo4/uSO4b1NTUIDU1FVlZWVixYgVCQkJUx7BkyRKcP3++1eo2TU2YMAFDhgwBAOzfvx8bN25s9SnA5cuX8a9//QslJSWYNWuW6viIiOjexGfBRBaidoOmHTt2YO/evTh06BAyMjLw2WefYfXq1fj8889RW1tr4SjVUTuPv6FfRkaGVb4XjUbTYgWf/Pz8VhP8piorK/Huu+/i8uXLqmPw8/PDiy++iL59+7YZ5/Tp0/HQQw8BAE6cOIGPP/7YpGk+O3fuxP79+1XHR0RE9ybeySeyELWJcEtu376NvXv34vz581i5cqXqkpeWotFo0K9fP0ULfQE0Vg86duyYNcJCWFhYs6k6Ukps3brVaILfoKqqCt999x1++ctfqo6jY8eOWL16NU6ePInk5GScPn26cZ3EiBEjkJCQAH9//8b23333ncnxAcA333yDuLg4ztEnIiKTMcknspB+/fpZfMyCggJ8+eWXWLRokcXHVkqr1SpO8hMTEwEYEmlr0Gq1zV4rLi7GmTNnFI1z8OBBzJ0716y6+0II9O/f32hZ1KtXryp+01NaWor169fj6aefZqJPREQm4V8Lcho6nQ5ZWVl4++238etf/xpr1qzBn/70JyQnJyvabEmtgQMHKt7gyhTp6ekoLy+3+LhKRUVFKSr92L9//8a57mp3+W1Ljx49Wty59+jRo4rHqq2txY8//miJsIw6ceKEomo8DY4cOYLPPvvMChEREZEz4p18cgpFRUXYsGFDsx1IS0tLcerUKWzduhVLlixBdHS01WLQaDSYOHEiNm/ebNFx6+rqsH//fkyaNMmi4yrl5uaGFStW4I033kBZWVmbbYOCgrBs2bLGqTShoaGKauwb06VLF6xYsQIuLi7NjjUs9lVq8+bN+Pnnn7F48WJV5TWrq6tx8OBBFBQUoLq6Gp6enoiIiEBMTMwdU7lqampUxQcYSpJGR0cjNDRU9RhERHRvYJJPDq+oqAhvvPFGmws7q6ur8Y9//AM6nQ5xcXFWi2Xs2LG4cOECkpKSLDpuUVGRRcdTq3v37lizZg2++OIL5OTkNLsj7erqipiYGMybN++OqS8JCQn49ttvFc1Dd3FxaVbRx83NDdHR0Zg9ezb8/Pxa7GfO2ohDhw6hpKQEzz//vMlPH6SU2LlzJ3bt2tXsidGPP/6ILVu2YMqUKZg4cSKEEGbX509OTmaST0RERjHJJ4em0+mwYcMGkyu3bNy4EWFhYejUqZNV4hFCYOHChejatSt27dqFmzdvWmTc27dvW2QcS+jUqROefvpplJaW4sCBA7h+/TqEEOjevTtiYmJarPnv7++PMWPGmLyhlo+PD9asWYOCggJcuXIFUkp07twZUVFRRvcUMKccJgCcOXMGn3zyCR5//HGjbaWU2LRpE9LS0lptU1VVha1bt+L69etYuHAhwsPDW3wDY6qsrCwsWbLEKlOgiIjIeTDJJ4eWk5PTbIpOW3Q6HVJTUzFz5kyrxSSEwP3334/ExETk5OSgsLAQ1dXV8PLyQmBgoKp51eYsCLWWgIAATJ482eT28+fPx7Vr14wuOvXy8sKKFSvQtWtXVRtVDRkyBAEBAYqui7v9+OOPmDNnDgICAtpsl5KS0maC31RSUhJ69+6N+Ph4REVF4eDBg6pi0+v1KC8vZ5JPRERt4sJbcmimJlh391Gz8FEpV1dXjBw5EosWLcJjjz2GX/ziF9BqtaoW544YMcIKEbYvV1dXPPPMM5g+fTp8fX2bHRdCYMiQIVizZk2zmvMlJSXYtWsXvvrqK3zzzTfIzc1tdeqPi4uL2esX9Hq90WtLr9fjhx9+UDTuDz/8ACklpkyZYta0IlbYISIiY3gnnxxaSUmJ4j43b95svLPe3jQaDcaOHYutW7ea3Mff37/FKjKOyMXFBTNmzMDkyZORk5OD8+fPo66uDn5+foiMjGz2Buj06dP4+uuvW1y027lzZ9x///0YN25cs1r5iYmJuHTpkllrI86ePdvm8ePHjyveROvChQs4ceIEQkND8cwzz+Cdd95RtE4BMFQqam09AhERUQMm+eTQlCZI5vazhLFjx2L//v24dOmSSe3nzp3bYhUZR9awgLatakd5eXn429/+1up6i2vXruHzzz/HuXPnsGTJkjvubjesjejevTu2b9+OiooKxTEaW+ehtBZ/g9OnTyM0NBQRERFYvHgxPv74Y0X94+LibL45GhER2T8+8yWHpmYBrYeHh03u4jfw8vLCs88+i+7du7fZTgiBBQsWIDY2tp0isx8lJSVYt26dSQuq09PTsWvXrmavCyEwfvx4rFq1SlUMxu6Wm7rY+251dXWN/z169GgEBQWZ3FcI0eIGYERERHdjkk8OTU0CHBsba/M5zZ07d8aaNWvw4IMPomPHjncc02g0GDFiBF544QWMHz/eRhHa1p49exRVFNq9e3er7Xv27Ing4GDFMURFRbV53FiVH1P6aTQaPPnkkya/6Zw/f76q74WIiO49nK5DDi02NhZbt25VtKOtvdwJ7dChA6ZNm4bJkyejqKgI5eXlcHNzQ48ePYxWdXFm1dXVyMzMVNSnsrIShw4dQnx8fLNjQgiMHTtWUVWjzp07Y/DgwW22GT58OL744gvFtf+HDh16x2s9evTACy+8gPXr1+PKlSst9nN3d8f8+fMxZswYk89FRET3Nib55NA8PT2xZMkS/OMf/zCp/eTJk9GzZ08rR6WMi4sL+vfvb1LbW7duISMjA5mZmSgtLYVGo0G3bt2QkJCAkSNHOsVc7TNnzqjaFXbbtm34+uuvodPp0LFjR8TExCA+Ph5+fn6Ij49HRkYGTp8+bXSchmlSxp72BAQEYNiwYcjOzjY5xqioqBanAfXs2RO/+93vkJubi9TUVFy8eBE6nQ7+/v6IiYnBqFGj0KFDB5PPQ0RExCSfHF50dDR0Oh02btzY5gZDkydPxqxZs9oxMsvKyMjA5s2bm01LuXnzJk6cOIGvvvoKTz31FMLCwmwUoWWoSfAB3LHxWGVlJbZt24Zvv/0W8+bNw7hx47BixQqsXbu2zURfo9HgkUceMbma0axZs3D8+HFUVVUZbevt7Y0ZM2a0ee5hw4Y5TSUlIiKyLSb55BTi4uIQFhaG1NRUpKWlNSZ8Hh4eiI2NhVartbs7+Eqkp6dj48aNbbYpLy/H22+/jVWrViE0NLSdIrM8Sy6Krqurw2effYa6ujo88MADeOGFF5CRkYHk5GScP3++sZ27uztiY2Mxbtw49OjRw+TxAwMDsXLlSrz33nu4detWq+18fHywcuVKdOvWzazvh4iIyFSiPTYFciZCiKzIyMjIrKwsW4dCrZBSorq6Gnq9Hl5eXjZfZGuua9eu4X/+53/afErRlL+/P/7whz/Y9dSdM2fO4Pjx4437FQwcOLAxua6trcXq1avbTJqVEkLg1VdfbVy0KqVESUkJKioq4Orqiu7du5v15qK0tBR79+5Fenr6HXH7+voiPj4e48aNa7bAmoiIyJioqCgcPnz4sJSy7WoQLeCdfHI6Qgiblsi0tJSUFJMTfAAoKytDdnY2YmJirBiVOrm5udi+fTuKioqaHQsNDcX06dMRHh6O0aNH4/vvv7fYeaWUSEpKwqJFiwAYrpHAwECLjR8QEIC5c+fiwQcfxPnz51FVVQUvLy/06NHDrt9sERGR83LsW5xETk5Kif379yvul56eboVozLNv3z6sXbu2xQQfAH7++We8/fbbyMjIwIQJE1SXqGxNZmbmHTXqrcHNzQ19+vRBREQE+vTpwwSfiIhshkk+kR2rrq6+Y0GpqS5fvmyFaNTLzc01qYSlXq/Hxo0bceXKFaxcuRLe3t4Wi6Gmpgbl5eUWG4+IiMieMcknckL2ttbm22+/NbmtXq/Hjh070KdPH7z00ksYPXq0xe6I29u/CxERkbVwTj6RHfPw8ICXl5dJJRqb6tSpk5UiUq64uBjFxcWK+uTn56OkpATdu3fHI488gnnz5uHYsWO4desW3NzckJGRgZMnTyoa083NDb6+vor6EBEROSom+UR2TKPRIC4uDvv27VPUb9SoUVaKSLnjx4+r6ldQUIDu3bsDMNSYj42NbTzm5eWlOMmPjo7mHHkiIrpncLoOkZ3TarWK2nt5edlVZZ3q6mpV/dp6ejF8+HD4+/srGk/pvyMREZEjY5JPZOeCgoLw4IMPmtRWCIFf/vKX8PDwsHJUplNbzrStfq6urnj00UdN3gNh0qRJ6NOnj6o4iIiIHBGTfCIHMHXqVMycORNCiFbbuLm54fHHH0dkZGQ7RmZcRESEqn7h4eFtHh84cCCWL18OT0/PNttNmTIFs2fPVhUDERGRo+KcfCIHIITA1KlTERUVheTkZGRmZjburNq5c2ckJCQgPj5e8RSW9tC7d2/07du31fr4LRk0aBC6detmtN3gwYPxxz/+Efv370dqaipKSkoA/N8cfq1Wa9FNr4iIiByFYEk5ZYQQWZGRkZFZWVm2DoXucbdv34YQwiEWk/7000949913TSphqdFo8MILLyAkJETxefR6PfR6PVxdzb9/IaVEVVUV6urq4OXl5RD/zkRE5FyioqJw+PDhw1LKKKV9eSefyEG5u7vbOgSTDRo0CIsXL8Ynn3zSZqKv0WiwdOlSVQl+Q39T5+m3pry8HOnp6UhNTcXVq1cbxx02bBi0Wi3Cw8PbnDZFRERkD5jkE1G7GDNmDLp06YIdO3agsLCw2fGBAwdi2rRp6N+/vw2iMzh+/DjWr1/frLKPXq9HdnY2srOzERkZiaVLlzrUmywiIrr3MMknonYTERGBiIgIXLhwAQUFBaiuroaXlxciIiIaa+LbysmTJ7F27VrU1ta22e7w4cPQ6XR4+umnzX5qQEREZC1M8omo3QUHByM4ONjWYTSSUuLjjz82muA3OHLkCLKyshAdHW3lyIiIiNSxm9tQQojRQogdQojrQohKIcRRIcQqIYSLwnFkGx+Z1oqfiBxXYWEhLl68qKhPUlKSdYIhIiKyALu4ky+EmAngKwDVAD4HcB3ADAB/BRAP4CGFQ54G8K8WXj+nPkoiclYHDhxQ3OfEiRO4evUqunTpYoWIiIiIzGPzJF8I4Qfg7wB0ABKllD/Wv/4/APYCmCeEWCil/EzBsMVSyv+1eLBE5JRKS0tV9btx4waTfCIiskv2MF1nHoCuAD5rSPABQEpZDeCV+i//yxaBEZH9qK6uRmlpabPKN5agdgEtF94SEZG9svmdfADj6z9/18KxFACVAEYLITyklDUmjtlRCPEYgEAAZQCypJScj0/kYGpra5GVlYXk5GScOnWq8fXevXtDq9UiJibGIqUsu3fvjmPHjinqo9Fo0LVrV7PPTUREZA32kOQPqP/crHC2lLJOCFEEYBCAfgDyTRxzGIAPmr4ghDgC4GEpZa4pAwghWtvSNtzEGIjIDKWlpXj33Xdx/vz5ZsfOnDmDjz/+GLt27cLKlSvRrVs3s86VkJCAPXv2KOozfPhw+Pr6mnVeIiIia7GHZ83+9Z/LWjne8HpHE8d7E4bFul0B+AKIBrAFhsR/rxCih8o4iaidVFRU4K9//WuLCX5Tly9fxptvvokbN26Ydb7g4GBEREQo6jNu3DizzklERGRNFknyhRDFRkpX3v2xScnw9Z+lKY2llM9LKfdLKa9KKSuklD9KKR+CoXpPFwAvmDhOVEsfAI4riJ2IVNi+fTtKSkpMaltaWopt27aZfc5HHnkEAQEBJrWdNm0awsLCzD4nERGRtVjqTv5JAAUKPi406dtwp94fLfO7q51a6+s/jzVzHCKyopqaGuzfv19Rn0OHDqGiosKs8wYEBOD//b//h/vuu6/VNq6urpg7dy5mzJhh1rmIiIiszSJz8qWUE8zoXgBgJIAwAHfMgxdCuALoC6AOwKnmXRW5Uv/Z28xxiMiKjh49iurqakV96urqcPjwYYwda3gPX1xcjNTUVFy8eBF6vR7+/v6IiYnB8OHD4eLS+v56nTp1wksvvYSff/4ZKSkpOHPmDOrq6uDr64vIyEjEx8fDx8fHrO+PiIioPdjDwtu9ABYDmAzg07uOjQXQAUCKgso6rYmr/2zumwUisiK18+tLS0tx7do1fPDBBzh58mSz4zk5OejYsSOWLFmCIUOGtDqOEAJhYWGcjkNERA7NHhbebgFwFcBCIcTIhheFEJ4Afl//5bqmHYQQHYQQ4UKI3ne9HimEaHanXggxFMAf6r9Ush6AiNqZ2trz1dXV+NOf/tRigt/gxo0beO+995CV1VrxLCIiIudg8zv5UsqbQognYUj2k4QQnwG4DuBBGMprbgHw+V3dYgDsA5AMILHJ688CmCOE2AvgLIAaGEpeTgbgAsPOunc/LSAiOxIUFKSqX25uLsrKjC/dkVLiww8/RJ8+fdC5c2dV5yIiIrJ39nAnH1LKbQC0MGx+NRfASgC1AJ4DsFBKaVJlHQDbAPwAYDCAR2BI+qMA7AQwU0r5lIKxiMgGwsPDFSffXl5euHLlivGG9erq6pCSkqI0NCIiIodhF0k+AEgp06WUU6WUAVJKLynlECnlX6VHOiv9AAAKq0lEQVSUuhbaJkkphZQy8a7Xt0kp50gp+0sp/aSU7lLKICnlDCnlN+32zRCRahqNRnEN+k6dOik+T1paGnS6Zr9eiIiInILdJPlERA3Gjx+PoUOHmtQ2LCwMQgjjDe9SUVGBmzdvKu5HRETkCJjkE5HdcXFxwbJly5CQkNBmAh8dHY2VK1eqviNfV1enNkQiIiK7ZvOFt0RELXF1dcXDDz+MKVOmIDk5Gfn5+aiqqoKnpyfCwsKg1WoRGBgIAPDz88PFixcVjS+EgK+vrzVCJyIisjkm+URk17p06YK5c+e22SY6OhoFBQWKxh06dCg8PT3NCY2IiMhucboOETm8mJgYeHl5KeqTmJhonWCIiIjsAJN8InJ4Hh4eWLBggcnto6KiEBERYcWIiIiIbItJPhE5hVGjRmHRokVGK+1ERkZi6dKlqiryEBEROQrOyScip6HVatG/f38kJSXhwIEDqKmpaTw2aNAgaLVaDB06lAk+ERE5PSb5RORUevTogcWLF+Ohhx7C9evXodPp4O/vDx8fH1uHRkRE1G6Y5BORU3J3d28ssUlERHSv4Zx8IiIiIiInwySfiIiIiMjJMMknIiIiInIyTPKJiIiIiJwMk3wiIiIiIifDJJ+IiIiIyMkwySciIiIicjJM8omIiIiInAyTfCIiIiIiJ8Mkn4iIiIjIyTDJJyIiIiJyMkzyiYiIiIicDJN8IiIiIiInI6SUto7BoQghrnl5eXWKiIiwdShERERE5MTy8/NRVVV1XUrZWWlfJvkKCSGKAPgBKLZxKM4uvP7zcZtGQfaK1we1hdcHtYbXBrXFHq+PPgBuSin7Ku3IJJ/skhAiCwCklFG2joXsD68PaguvD2oNrw1qi7NdH5yTT0RERETkZJjkExERERE5GSb5REREREROhkk+EREREZGTYZJPRERERORkWF2HiIiIiMjJ8E4+EREREZGTYZJPRERERORkmOQTERERETkZJvlERERERE6GST4RERERkZNhkk9ERERE5GSY5BMRERERORkm+WQXhBCjhRA7hBDXhRCVQoijQohVQggXhePINj4yrRU/mUcI0VMI8aEQ4oIQokYIUSyEeEsIEaBwnE71/Yrrx7lQP25Pa8VO1meJ60MIkWTk94OnNb8Hsg4hxDwhxLtCiFQhxM36n+UmlWNZ5PcQ2Q9LXR/110JrvzsuWSN2S3C1dQBEQoiZAL4CUA3gcwDXAcwA8FcA8QAeUjjkaQD/auH1c+qjJGsRQoQA2A+gG4B/AzgOIAbArwBMFkLESymvmTBO5/pxwgDsBfAZgHAASwFME0KMklKess53QdZiqeujid+28nqdWYGSrbwCYBiAChh+x4erGcQK1xnZB4tcH/XKALzVwusVZoxpXVJKfvDDZh8A/ABcBlADYGST1z1h+IUrASxUMJ4EkGTr74sfiq6BXfU/t5V3vf5m/evrTRxnQ337N+96/dn617+z9ffKD5teH0mGP3m2/574YdHrYxyAUAACQGL9NbFJxTgWuc74YV8fFrw+igEU2/r7Ufoh6oMnsgkhxGMAPgCwUUr5yF3HxgPYAyBFSqk1cTwJIFlKmWjpWMnyhBD9AJyE4RdoiJRS3+SYL4CLMPxy7ialvNXGON4ArgDQAwiSUpY3OaapP0ef+nPwbr6DsNT1Ud8+CYBWSimsFjDZlBAiEcA+AJ9IKZco6Gex64zsl9rro75vMQBIKftYPDAr4px8srXx9Z+/a+FYCoBKAKOFEB4KxuwohHhMCPFrIcRyIUSc2VGStTT8/Hc3/cMKAPWJejqADgCM/QxHAfACkN40wa8fRw9gd/2X48yOmNqTpa6PRkKIBUKINUKI54QQUxT+biHnZPHrjJyShxBiSX1u8SshxDil6wbbG+fkk60NqP9cePcBKWWdEKIIwCAA/QDkmzjmMBieDjQSQhwB8LCUMteMWMnyWv351/sZwEQY5tnvMXMc1I9DjsNS10dTn9319WUhxHIp5RYV8ZFzsMZ1Rs4nEMDHd71WJIRYKqVMtkVAxvBOPtmaf/3nslaON7ze0cTx3oRhsW5XAL4AogFsgSHx3yuE6KEyTrIOS/38LX0dkX2w5M/13zAs6O8Jw1OfcACv1ff9XAgxxYw4ybHx9wcZ808AE2BI9L0BDIFhHVgfADuFEMNsF1rrmOST2YyUlmrpQ0n5qob5syYtHpFSPi+l3C+lvCqlrJBS/iilfAiG6j1dALyg8Nsj21L082+Hcci+mPxzlVL+VUr5rZTyvJSyWkpZIKX8NYDnYfhb+EdrBkoOjb8/7nFSyt9KKfdKKUuklJVSymNSyqdhuLHoBeB/bRthyzhdhyzhJAzlL011ocl/N9wh8W+pIQzVd5q2U2s9gLkAxpo5DlmWpX7+7XUdUftqj5/rP2Ao1ztcCOF795oOuifw9weptR6GGwV2mVswySezSSknmNG9AMBIGOY6ZjU9IIRwBdAXhvrV5lZEuVL/2dvMcciyCuo/tzZXPrT+c2tzZS09DtkXq/9cpZTVQohyAAEw/H5gkn/v4e8PUuty/We7zC04XYdsbW/958ktHBsLQ0WD/VLKGjPP01AVgeUT7cu++s8T60tdNqovXRcPoAqAsd2KM+vbxdf3azqOBoZFc03PR47BUtdHq4QQA2BI8MsBXFU7Djk0q19n5LRG1X+2y9yCST7Z2hYY/rAuFEKMbHixfov539d/ua5pByFEByFEuBCi912vR9bXS8ddrw8F8If6L1Vtd07WIaU8CUN5yz4Alt91+Lcw3B3Z2LQ2df3P/o5dC6WUFTBUPfBG87mRK+rH38Ua+Y7FUteHEKJfS4vuhRBdYFhQBwCfSSm5660TE0K41V8fIU1fV3OdkfNp7foQQgwSQnRqof19ANbWf2mXuQU3wyKbE0LMgiHZr4ahvN11AA/CUNZsC4D5ssmF2mRDizs2vRJC/AvAHBieDpyFYRfdcBieErgA+DuAZZIXvV1pYTv5fACxMNS0LwQwWjbZTr5+wzPcvamREKJz/ThhMFwDBwFEAJgJwyPV0fV/zMmBWOL6EEI8CsPc+2QY1hBdB9AbwFQY5mH/COABKeUN639HZEn1fz9m1X8ZCGASDHdVU+tfuyqlfKG+bR8ARQBO372pkdLrjByDJa4PIcT/AlgDQ95RBMNTvxAA0wB4AtgBYLaU8rZVvxkVmOSTXRBCxAN4GYZHX54ATgD4EMA7UkrdXW0T0XKSPwvALwEMheEXtSeAazD8Af+7lPIbq38jpIoQoheA38HwhqwzDDtMbgPwWynl9bvatpjk1x/rBOA3MPxSD4Lh578TwKtSynPW/B7Iesy9PoQQQ2BYHBcFIBiGhZTlAH4C8AWADfb4B5qMq0/AftNGk8aEra0kv/64ydcZOQZLXB9CCC2ApwGMwP+V0LwBIAeGJ8gf2+vNQyb5REREREROhnPyiYiIiIicDJN8IiIiIiInwySfiIiIiMjJMMknIiIiInIyTPKJiIiIiJwMk3wiIiIiIifDJJ+IiIiIyMkwySciIiIicjJM8omIiIiInAyTfCIiIiIiJ8Mkn4iIiIjIyTDJJyIiIiJyMkzyiYiIiIicDJN8IiIiIiInwySfiIiIiMjJMMknIiIiInIyTPKJiIiIiJzM/wduTyWReJ8alwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 380
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y, _ = make_biclusters((200, 2), 2, noise=0.24, random_state=314, minval=0, maxval=1)\n",
    "plt.scatter(*X.T, c=y.argmax(axis=0), cmap=\"Dark2\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "classes = np.array([0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0,\n",
    "       1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1,\n",
    "       1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1,\n",
    "       1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0,\n",
    "       1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1,\n",
    "       0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0,\n",
    "       0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0,\n",
    "       1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0,\n",
    "       0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0,\n",
    "       0, 1]).astype(bool)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def covariance(X):\n",
    "    \"\"\"\n",
    "    Parameters\n",
    "    ----------\n",
    "    X: np.array(N, M)\n",
    "        Array with N real-valued observations with vectors\n",
    "        of size M\n",
    "    \"\"\"\n",
    "    X = X.T\n",
    "    M, N = X.shape\n",
    "    mu = X.mean(axis=1, keepdims=True)\n",
    "    cov = X - mu\n",
    "    cov = cov @ cov.T / (N - 1)\n",
    "    return cov\n",
    "\n",
    "def correlation(X):\n",
    "    cov = covariance(X)\n",
    "    sigmas = X.T.std(axis=1, ddof=1)\n",
    "    sigmas = np.outer(sigmas, sigmas)\n",
    "    return cov / sigmas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "N = len(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# The initial parameters\n",
    "mu1 = np.array([-0.2, 1])\n",
    "mu2 = np.array([ 1, 0.3])\n",
    "\n",
    "\n",
    "Sigma1 = np.identity(2) / 20\n",
    "Sigma2 = np.identity(2) / 20\n",
    "\n",
    "pi1 = 0.5\n",
    "pi2 = 0.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 396
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Norm1 = multivariate_normal(mean=mu1, cov=Sigma1)\n",
    "Norm2 = multivariate_normal(mean=mu2, cov=Sigma2)\n",
    "\n",
    "x0, y0 = X.min(axis=0)\n",
    "x1, y1 = X.max(axis=0)\n",
    "\n",
    "step = 0.01\n",
    "xx, yy = np.mgrid[x0:x1:step, y0:y1:step]\n",
    "\n",
    "density1 = np.c_[xx.ravel(), yy.ravel()]\n",
    "density1 = Norm1.pdf(density1).reshape(xx.shape)\n",
    "\n",
    "density2 = np.c_[xx.ravel(), yy.ravel()]\n",
    "density2 = Norm2.pdf(density2).reshape(xx.shape)\n",
    "\n",
    "density = pi1 * density1 + pi2 * density2\n",
    "\n",
    "plt.contourf(xx, yy, density);\n",
    "plt.scatter(*X.T, alpha=0.7)\n",
    "plt.xlim(x0, x1)\n",
    "plt.ylim(y0, y1);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib.colors import ListedColormap\n",
    "N = 256\n",
    "vals = np.ones((N, 4))\n",
    "vals[:, 0] = np.linspace(31/256, 214/256, N)\n",
    "vals[:, 1] = np.linspace(119/256, 39/256, N)\n",
    "vals[:, 2] = np.linspace(180/256, 40/256, N)\n",
    "cmap = ListedColormap(vals)\n",
    "\n",
    "def compute_responsibilities(k, pi, mu, sigma):\n",
    "    Ns = [multivariate_normal(mean=mu_i, cov=Sigma_i) for mu_i, Sigma_i in zip(mu, sigma)]\n",
    "    def respons(x):\n",
    "        elements = [pi_i * Ni.pdf(x) for pi_i, Ni in zip(pi, Ns)]\n",
    "        return elements[k] / np.sum(elements, axis=0)\n",
    "    return respons\n",
    "\n",
    "\n",
    "def plot_mixtures(X, mu, pi, Sigma, r, step=0.01):\n",
    "    colors = [\"tab:red\", \"tab:blue\"]\n",
    "    x0, y0 = X.min(axis=0)\n",
    "    x1, y1 = X.max(axis=0)\n",
    "    xx, yy = np.mgrid[x0:x1:step, y0:y1:step]\n",
    "    zdom = np.c_[xx.ravel(), yy.ravel()]\n",
    "    \n",
    "    Norms = [multivariate_normal(mean=mui, cov=Sigmai)\n",
    "             for mui, Sigmai in zip(mu, Sigma)]\n",
    "    \n",
    "    for Norm, color in zip(Norms, colors):\n",
    "        density = Norm.pdf(zdom).reshape(xx.shape)\n",
    "        plt.contour(xx, yy, density, levels=1,\n",
    "                    colors=color, linewidths=5)\n",
    "        \n",
    "    plt.scatter(*X.T, alpha=0.7, c=r, cmap=cmap)\n",
    "    plt.xlim(x0, x1)\n",
    "    plt.ylim(y0, y1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### E Step\n",
    "Use the current values for the parameters $\\boldsymbol \\pi$, $\\boldsymbol \\mu$ and $\\boldsymbol \\Sigma$ to evaluate the posterior probabilities (responsibilities)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "Sigma =  [Sigma1, Sigma2]\n",
    "mu = [mu1, mu2]\n",
    "pi = [pi1, pi2]\n",
    "\n",
    "r1 = compute_responsibilities(0, pi, mu, Sigma)(X)\n",
    "r2 = compute_responsibilities(1, pi, mu, Sigma)(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 396
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_mixtures(X, mu, pi, Sigma, r1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### M Step\n",
    "Update $\\forall k. \\pi_k, \\mu_k, \\Sigma_k$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "N1, N2 = r1.sum(), r2.sum()\n",
    "\n",
    "mu1 = (r1[:, np.newaxis] * X).sum(axis=0) / N1\n",
    "mu2 = (r2[:, np.newaxis] * X).sum(axis=0) / N2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "d1 = (X - mu1)\n",
    "\n",
    "Sigma1 = r1[:, np.newaxis, np.newaxis] * np.einsum(\"ij,ik->ikj\", d1, d1)\n",
    "Sigma1 = Sigma1.sum(axis=0) / N1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "d2 = (X - mu2)\n",
    "Sigma2 = r2[:, np.newaxis, np.newaxis] * np.einsum(\"ij,ik->ikj\", d2, d2)\n",
    "Sigma2 = Sigma2.sum(axis=0) / N2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "pi1 = N1 / N\n",
    "pi2 = N2 / N"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### E-step (Second update of responsibilities)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "Sigma =  [Sigma1, Sigma2]\n",
    "mu = [mu1, mu2]\n",
    "pi = [pi1, pi2]\n",
    "\n",
    "r1 = compute_responsibilities(0, pi, mu, Sigma)(X)\n",
    "r2 = compute_responsibilities(1, pi, mu, Sigma)(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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XqywUGywU6/wPD41y40DLtsQ51Bbj1+4b2ZZ7i+uT1GAIIYQQO5geCoGhozxvQ9f7rgu6jhEOXeXIxFeemuCVmTyFmsX+rgSDbTHS0SCpSJDuVITRniQBU2diqcJ/+NFZ8jVru0MWYktIgiGEEELsYKl9IwSTCexSGaXWHpzmOy5eo0EwmSAxMrRFEV6f5gp1XpwukKk0GWmPEzTfvqTSNY3edARD11goNXjq9NI2RCrE1pMEQwghhNjBkvv3EuvvQw+Y2IXimtc2s9mVoXs3HiKUTm1RhNenp04vka9apKNBApdJLl6naRqdyTC5isXTZzN4/jubri3EtUgSDCGEEGIH0zSN/oceJNrbQzObo5nLo/xL5xooz6O+mMFtNIj2dtP7vvduU7TXj+lsjUrTIRVZvzYmGjTwlSJbtSjIMSlxHZAibyGEEGKHa7/tCM18npm/+D71hUWsXJ5AMoFuGPiOg12pEojHSO4ZZv8XHyE+uHo722vJ3HKZY2fmKVaaaBq0p6LcPtZHRzq23aHh+D5KsaH2rpqmoWsaSoHjXX7onRC7yY5JMDRN+zTwAHAzcARIAF9VSn3xHTxHG/Ap4KPAjUAfYAOvAl8BvqKU8t/ymGHg/BpP+zWl1F/f8AsRQgghroL+hx4k0tHO3A+fpDI9i1OpoHwfIxwi2dlOenQ//R96P8k9w9sd6ru2kKvw5z9+jXPzeYqVJpazUuAeDpo8fuwch4Y7+aWjh0jHt6/FajxkEjA0LMcnGlz7Ws9XOJ6PqWvEQxvrBibEtWzHJBjAb7GSWFSBC8DoFTzHZ4B/DywATwAzQBfwS8AfAh/WNO0z6vJVci8D37rM+09cQRxCCCHEpmu7+UZaj9xAZWqGyrkpfNvGiERIjx4g2r07JjHPZkr8wbdfYGqxSKVuk46FSMZCoKDWtJmcK5AvN1jMVfjyL91JSyKyLXHeNtzGs5NZspUmLbG1M4xi3SYRDjDWmyKxgSNVQlzrdlKC8Q9ZSSwmWNnJeOIKnuMs8AngO2/eqdA07Z8BzwG/zEqy8c3LPPYlpdRvX8E9hRBCiC2jaRrJkSGSu7BLlOW4/MfvvsjkfB4Njf19rZccQUrGQnSkfS4slzk7m+M/fvclfuORu7dlUvZde9v5r89Ns1hskK9ZtMYu3xbYdn0y5SaDbXGOjnVvcZRCbI8dU+StlHpCKTW+yu7CRp/jR0qpv3zrMSil1CLwHy6+efRdhCmEEEKIq+Sls4vMZyu4rk9fe+Ky9Q2moTPQmaRSt5haKDB+IbcNkUIoYPDLdwwy3B5nqdRkodi4pL7CV4pCzWYyU6EzGebW4VZuGWrdlljfSinFcsViNl8nW7XWbX8sxDu1k3Ywrjbn4p/uKh/v1TTt14E2IAf8TCn1ypZEJoQQQgiePTlLodKkNRlZc1fC0HVaEhEKlQbPnrjAgYH2LYzyF46OddOwPb7+3BSZcpOzixVCpo6uaTRdj3DAoL81xq3DrXz5/QcwNlAQfjVVLZenx5f58ZkMc8UGnq8wdY3+1igPHuzkPfs6iASNbY1R7A7XRYKhaZoJfOnim99f5bKHLv735sf9GPhVpdTMBu9zbJUPXUk9iRBCCHFFfM9j/rUJpo+doJorglKEU3EGbz7EwJFRzOA6VcnbwPV85rMV6k2Hgc7kutcnoyGml0rMLZe3ILrVffhIH/u6EvzotUVemMpRt1yUgqCps6czztHRbu7Z30HA2N5DI7P5Ov/6sTOcz9bIVi0cz8fQdVzfZypX58xihcdPLfEPPnCA7tT21LWI3eO6SDCA/wO4AfiuUuoHb/lYHfjfWCnwPnfxfTcBvw08CDyuadrNSqnaFsUqhBBCXLHc9BzPf/27lBaXqZcqOE0LlMIMBVl4bYKTj/6EWz75QfoO79/uUC/h+T5KKTRtZQL2enRdQymF43pbEN3a9ncn2d+d5HMNm8VSE9fzSUeD9KTX3onZKssVi9959DQn5ko4nk93MkwibKJpK5/DctNlsdyk0nT4nUfP8FsfPUR6vdZYQqxh1ycYmqb9feAfA6eBX3nrx5VSGeBfvOXdT2ma9kHgaeAu4G8Dv7vevZRSt60SwzHg1ncWuRBCCPHO5KbnePor3yA3PY/vuUTTSRLtLWga2A2LWqFENVfk2a9+m7s+93H6bzy43SG/IWgaBAPmSqyuR9Bc+6iO5biYpk4scvUXwtWmw88ms8zkatiuTzIS4LbhVg52Jy9JIJKRIMktiOed+ubxWcaXqni+Ym9H/JIETtM0UpEA8ZDJuWyNM4sV/uLleb50z/D2BSyuebs6wdA07b9nJTF4DXi/Uiq/0ccqpVxN0/6QlQTjvWwgwRBCCCHezHccnFIZ5XmYiThmNHrV7uW5Ls997TvkpucxAgYt/V2XLH4jgQDhRIxavkjhwiLHvvl92ob6iCTjVy2mS+LzfE5PZXju1Rlml4o4rkcsHGR0Txd33TBIT0eSwyOdzGVKFCtNOlvWHqZXrDRJx8PcsOfqtee1XZ9vPD/NT85mWK5YVJsuSikCps73X5lnpCPOI3cOcUN/+qrF8G6V6jbPn8+Tq1kc6Eysujtk6BoDLREml2v8dDLLZ24bkHoMccV2bYKhado/AP41K3Ms3n9xp+KdWr745/aPDBVCCHHNaC5lWH7mWXLPH8MtV1Eo9ECA1OExOu69i+Sh0U0/OjN/cpzyUhbfc9+WXLxO0zRirWmcpk0tX2L6+AlGj969qXFcTq5U40/+6hgzCwWKlQbVho1SCsPQmVrI8+wrU9xxeIC7Dg3w/KkLTC0UScZChIOXX6ZUGzY1y6GnPcFdh67O1HLb9fndx07z/Lksc4UGkaBBKhJA1zWajsf5bJWFUoO5Qp1ff3A/d+7ZnkLz9RybKZCv2cSCJkFz7TqQcMAgZOpkKxYvXyhy9562LYpS7Da7MsHQNO2fslJ38RLwkFIqe4VP9fr/dc+teZUQQghxUfbnzzP9X76Blc1hF4poGqBp+K5HY36Rwosv03bXHQx//jPogc0bujZ97CT1YploOrlm8qJpGtF0kspynukXrn6CUaw0+MM//zkTM8vUGw4tyQidrQkMXcN2PIrVBlPzeZqWi2W73D7aR9N2mcmU6EhFScXCb7Sr9TyfYrVJrtygJRnFjIT5yhNn0DWNzlSEe0a7GepIbEry9rXnpnjuXJaFYoORjhiRtyQ7nckwmXKTiUyFP3xygr6WKH0tV2+H6kqVGg625294NyISNLBdn2LdvsqRid3smkwwNE0LAHsBRyk1+ZaP/XPgXwLHgA+udyxK07S7gBeVUvZb3v8+Vob/AfzJZsUuhBBi98off5mpP/katakZjEiE2GA/RjgMgO+6OMUStakZfGvlR87Ilz63aTsZ1VwBp2mR7Fz/t87BaBjXtqmXyniOixG4esuBv/zxSc5fyGE7HkM9aapNl7lcBdv10YCAqZNORFnMljh+SueRD92M43kcPzNPtlRnuVgnFDRAQdPxCAYMPE2j5CoKmSqvzJfRNI1I0OTJk3Ps703zpaOjdLyLTkiVhsPTZzPMFRrs6YhfdnGuaxrdqQiO57NQavD4a4t86b497+IzdXUYuobGylyOjXi90N7Ud8yotKvO8XyOTRf46WSWfM3G0DQ6k2EeONDB4d61E3ZxeTsmwdA07ZPAJy+++fqoy3s0Tfvji3/PKqX+ycW/9wGngGlg+E3P8ausJBce8BPg71/mH8WUUuqP3/T2/wkcvtiS9sLF990EvO/i3/+5UuqnV/q6hBBCXB98x2H2m9+mNjNLMJ0i1H7pQl83TULtbZjxGLXpWXI/f562O28jNbY5hdZvzJjdwFpo5WejhlJvetxVkCvVODW1RLHSoLMtycRCCctxcVz/jQWvrmkELs6OmM+WOf7aBf7Op+/hpr3d/OzELJNzeWxnpVOU6/tk6y6OBk1PozVq0hIzUawUYp9bKpOtNMmWm/zDT9xM58Ukw/cVJy8UeOr0EueWK9iOTzRkctNgCw+MddPfeulJ6KfHl8lWbKJBY93f/Hcmwkxmqjw7meXTdwwSXeVY13bpS0eJhUwuFBp0J9Wai2WlFOWGS1s8RH/r9dGq9uXZIl955jzzxQa5moXlrnw/RIMGz0wsM9we48sP7GOgdeftTu1kO+m74GbgV9/yvj0X/4OVZOKfsLaRi38awD9Y5ZongT9+09v/GfgUcAfwYSAALAFfB/5fpdRPNhC7EEKI61zhxVdoZjJoaATbVp/YbITDhNpasXJ5ss88u2kJRiSVxAwGcBoWRmLtH+9O00I3dEKxCMYmHtN6q5dOz1GqNAkETC5kKzQsBwUEDJ2gvrJw93wfy/HQgLrlc/LcEpl8hVsO9HDLgR6WizWKlSYN2+WPHj9Fo1khGjLpaYlesliOhwN0JCPMZiucnS/wh4+d5H/+5dso1Gz+/Q9Pc3ahRK5qUW44+EphGjpnF0r86OQC94928YX79r4xq2IqW6XadDbUqjUUMAgYGqW6zUKxwd7OxNX4VF6xI/0p+lqizBUbVCyXZHj1r3ex4RAwdYbbYxzs2lmv42o4Nl3g3z5+lvPZGr6vaI8H6br4vVNuOpzP1siULYr1U/zmw6MMtklJ7kbtmARDKfXbrMye2Mi1U1zmdzTv5Dne9Jg/Av7onTxGCCGEeKvCiy/jFEoEW9LrHqkIpFM0J85RPPEabqOBGXn3vy0eODLKwqlJ6sUy4cTaC6HXazUGjoxd1eMfhXKDuuVQaTpYjoeuawRN45J76rqBaejYrofrwMxyhUePT+EoDcvxiARNDva3Uqjb5OsOuqa9Lbl4naFrDLYnGF8ocn6pzLHJZf7b8VlOzBYo1R3a4iH2dUUwdQ3L9SjUbMYXyzRsl4bt8evvO4iua9gXd1g2Onlb1zV8tXLUZqcxDZ33j3ZyIV9nJl9npF277C5L1XKZKzYYaY/z0NjlmwTsJqW6ze8/OcHkcpVk2KQ7Gb6061rQoCMRYiZf58ximd97YoL//Zdu2vZp7NeKHZNgCCGEENcyp1zGc2xCkfVrIHTTRDcMlOPi1eqbkmAM3nyI1x57mlquQC1fItaauux1zUoNq9agfbiVkTtuetf3XU/TXjkSpeBtycXrNE0jYBhUXUXDgW8+M0EwaOL5K4v8p09eIFNuUnd8BtYp4tZ1jdZ4mHy1ye8/fppc3aVmuezrTlxSVxAJmkSCJi2xIFPZKj89m+GGgRbuP9hFPGxiGjqW40Fk7R0epRS26xMwNGKhnbmseviGHs4t13hyPMO5bJ140KAlFiRgaNiuIl+3qdsuQ20xPjDWxdGDV6/1707x5PgySxWLgKG/Lbl4na5pDLZGObNYYTpf4+ULRW4dbNmGaK89108FjxBCCHEVaYaJhobyN15MuzK2enN+FAfCIW7+xAdo6e+hXqpQnF/CrjdX7sPKsajSYpZyJkdLXzeHHnoPiY7Vj3JthpZkBNv13xict1pioBRUfQ1LM7DRKNct4pEgbYkw8XCAbLlJvtSgVmtSq9tvvKbVJKJByg2HyUyVbKXJYFt81aLlSNCkOxUhU27w49cWUEpxy1ArLbEg+dr696o0XQKGzkBrjP4d2EUKVnZ2vnx0L5+8uZ8bepPEIwGyVZsLhQa5uk06EuDGvjSfuW2Av3nfyK7fvVBK8dTZZXJVi454cO2EVdNoj4fIVm2ePHMlEw+uTzsz1RZCCCGuMeHuLoxYFLdSwYyuvSPhNhorv7VPJQgkN++s+8CRMZSvOP6tR6nlS5SWsviOCxpouk40naRtqI/DD72Hgw/ctWn3Xc2Rg70oTcNXirVOljR9qHsKhYaBIho0ScdCb3w8EQ1RrtvUmg75cp1oOEAqHl71+XQNGq7C9z3SsdC68x9S0SCLpQbnMhWmszWODLQw0BplodggW7XoSFz+Xp6vWCg26E6FeWC0c0cvzE1D54t3D/Gxm3r4yXiW04tlGrZHNGhwqDfJ/fs7SKxRn7GbWK5PtmphOT7xDew6JSMm2arFQqm5BdHtDpJgCCGEEJug/d47yT7zLNXzU4Ta29CM1bsP2bk8wdY0bXfdjm5u7o/iwVsO0T7Sz9QLrzJ9/ASNcg1QBCNhBm8+xMgdN5HYQCvbd+P1qWAyWg8AACAASURBVN3n5wugAAUNyyEaDqBply72lVpJLjwFhrbyG+O37hroOgQCBpq9MisjX66TjIVWXdA3bQ9N01BAbAOLZl1bqUtoOh65apPhjjifvmOIpVKTyUwFx/VpT4TfSFSUUlSbLgulBslIgNHeFPcfuDaOFaWjQT5+pJePH+nd7lC2jecruLiBuJGkUGPl35K3wd1JIQmGEEIIsSliQ4PE9+3ByuepzV4gNtD/tiRDKYWVzeFZFtGBfjruvTpD7qLpJIc+cB9j778X13ZAKczQ2kdBNoNSip+9Ms1TL55nKVelWrdwXRdQeJ6iWrcJBAxCARPt4s5Gw/GxfR00DVPX0LSV2RhvpqGRigZpWA6O41FvOjQsl+gqyUO+2iQSNHG0Kz9+dsdIG7/2nr38p5+eY6nUZHypQjiw0k7XcjwMXaczEWasL8VvPDT6tkF8Yud6vf2wpq1MZQ8H1m5FXLc9gqZOOnp97PBsBvluEEIIITaBpmmM/OrnsYslKmcnqEycI5BKEUjEQdfwGs2Lk701YsNDDH/hkbfNyrgaMQVC67da3QxKKf7yqVM8eewcC9kyAMlYiGQsjO36OI4HKBzbxXF8dH0lPk9fWegFDR1DB0PXScbefiSpNR6mULWwHQ/H9bHsyycYhZqF5Xq0JqPYGNSslbkOa/GVom67dKcjtL7p2qNjXQy2RXns5CLHpnJUmi5KKQKGTl9LlPeOdnJ0tGvHzb4Qa9M0jTtH2pjK1cnVbPrSax9pzNUs2mIh7t5zdb9fdxP5jhBCCCE2Sai1hYO/8WWm/tN/oTI+iV0o0Mwsg1LowQCR7i7CXZ0MfuaTpG+6YbvD3VQ/e3WGJ4+d40KmSGdrnER05QhTMh6mbjnUlEJHw/VXkotIKEAwYOLoJq7toZTC8xXhoEE68fYFXzRk0hoP0bRdbNejWLdIxEKYF2dXWI5HvtqkXLcZ7kzy8TtH+IuX5jg9X8Lx/DdmXFxOueEQMg1GOhIMt8cv+diezgS/3pmg3BjmQqGO662c2x9uj6NLy9Kr7kKhzrHpAuWmQ0DXGWyLcvtQ67p1Net532gnPzq9xNmllTa1q9WfZKsWtufTkQhx3772d3XP64kkGEIIIcQmCrW2cOA3vkx95gLZn/2c5mIG5fuYiTitt91C+qbDm153sd083+fpF8+zmCvT2Rq/ZAciYBp0tcRZ9Ks0bAdD19H1lcSjvyvNXKFOrlnH8RTJSIDO1tgbScNb9bbGyFeauLqG5yvGF4oEDB0FuJ5PSzzMnu4Uv3T3Xh66eYALxSbL5SYzuRrD7fHLzjBoOh4LxTqDbXEeGOte9RhZMhLgUOTyrX/F5jufrfL1F2Y5OVeiUHewXR9dg3jYpCcV4f1jXXzspt4rnksx1Bbjozf2YrsXmMrVaYu5tL2pIUDD9liuWtQslz0dcb5495DsVL0D8pkSQgghNpmmacSGBogNDWx3KFvi7HSWxVwFX610fHqr1lQUBWTyVWzHpWm7ZHJVqg0HzVipvfAUtKejtCZXb/Vquz5BU2dvT4rDe7o4O1/Edj00NCIhk9v3dXL/oV6GOlY6c332nhGmlqucnCsysVSmLR4iHQ1iXByml69ZFGs2PS1R7tzbzn3XSKH2bndyvsS/+eFZprI1Sg2HdDRAJGDg+YrFUpO5YoOFUpOZXJ0vH927akK6nkduH8BXiu++ukC2anF2qYKua7zeQbotFqSvJcGX7hnm/v0dm/wqdzdJMIQQQgjxrkwvFKjW7TU7O7WlosSjQYrlBou5Krqu0dUao6stQU3pTC1XsVyFUuqyz+ErxWK+RmsizAM3DvD5B8eoNGzKdRtN02iJh95WaN0SC/GPPnqYf/fYaSaXKuSqFkulMr5SmLpGOhZkb1eSu/d38Gvv3X/FC1WxeZYrFv/P4+OcWawQNnUO9SQv2aXoTISoWi4z+TpPjWfoTIb47B2DV3QvXdf4/F1D3DnSxhOnl3jufJ6m66EBiXCA+/a18+BoJz2pdz8I83ojCYYQQggh3hXb8fB9n+A63XhCAZOutgS+rwgFTT7/oSPce2SYbKnBv/nWMc5eKDCTqdCeihANrXSaUkpRazoslxoETJ093Skevn0EgEQkSCKydhF7ZzLCb33yCK/MFnjy1CLnLradjYZMbhps4b2j3Yx0xHf0DIvryeOnlrhQrGPqGv0tkbd9XTRNIxEOMNymcT5X4/HTS3z0pt4NzbNYzb7OOPs643zp3mEqTRdd00henOYurowkGEIIIYR4G6UUM3M5Xjo5w3KhgvIViXiYGw/2M7qvF+NNi69IOIBpGNiuv6HndjyfRMCgNRnF0HW6WmL8+keO8Affe4UL2SoL+RpKKUxDx/F8DF2jNRFmqDPJr3/kCK2rDL5bjWno3Drcxq3DbW+8Nkkodh7b9Xl6Yplc1Wa4Lbrm1ygWMokEDJYrFs9MZPnQ4e53ff+QaRCKr50ki42RBEMIIYTYoZTvU8rkcOpN9IBJsrNtS9rO5gpV/vx7LzAzn6NUadBs2iggGDB45dQsHa0JPvaBm9k/srKoGx3uIBkPMbVQoCMdW7O7ku242I5LOhFhT/8v2n4Od6X4nz5zJ8+cnONnp+fJlRt4Phi6Rmc6yr1jvdx7qJf4OjsWGyHJxc40V6yTr9lvDD5cT0s0SLnhMJGpbEqCITaPJBhCCCHEDmM3LaZeeJXzz79KKZPDd1w0XSeciDF4ZJS999xCsqP1qtw7m6/wx//1J0xfyFFrNEklonS0JVaGklkOy7ky2UKVcrXBIx+7i7H9vfR3phjuaSGTr5Ir1ehoiV/2uZVSZPI10okINx/sJRK6tDVoKhbiI3fu4YO3DbNYqGE5HpGgSVfLyk6H2N0s18fzV+pjNsI0VpoDNJ2N7ZyJrSMJhhBCCLGD1IplfvqfvsXy+VlqhRKe62EGAvi+T2F+idLiMlPHT3LnIx+h79C+Tb23UopvfPd5pi5k8Tyf4f529Dct7MOhAKlEhFyhyoXFAv/tBy/Q1/0QyUSED95zgNlMien5Ar5foS0VxTR/cdzEsl2WCzVA0d+Z4r237lk1DtPQ6W9PbOprEztfLLhS92B7/oaOsdmuT0DXiAblWNNOI78OEEIIIXYIu9Hkmf/435g7NUE1XyTe1kLHngFaB3toH+6jtb8b13FZPn+Bn//ZX5E5N7Op9z8/u8yFhQKNhk1PZ+qS5OJ1mqbR1hInYOrkCjWOn5wGYN9AO488dISR3pWdlfPzBWaXiswvl5leKDC7VCIcMtk32M6vfvx22lKrt6MV16e+dITeVART16hY7prXKqXI1WzS0QBHBtJbFKHYKNnBEEIIIXaIyWdfYvn8LHa9SetAD7px6W9mzVCQVHc7leU8hbklXv3+T7jtsx/lzItnmZ2cxWpaBIIBuvq7GLt1lI7ejndUb3D8xDSlSp1UMnLZ5OJ1mqaRTsbI5Mq8eGKaB+46iKZp3HKwl/Z0lKdfnOLExCLVhrVy5MXQSSci3HKwl/tvGaFVkgtxGbqu8cDBDiYyFRZLTWJBc9VBeoW6g68UPakItw9dneOC4spJgiGEEELsAL7ncf7YCWqFEonOtrclF6/TNI1ERyuZiVlOvjLJ6bk/wbZdapU6vueh6Toz47OcPn6awf2DPPipo4QjG+u6tJwr02japDvXn1gdCQfwPJ9ypU6jaRONrAzYG+hK87mHb6ZcazK7WMR2fSJBk+G+VsIyCVms4+jBTp46u0zNdjmXrdKXjlxS8O35ilzVYrlqs7cjzqdu6Xtj+rbYOeQ7XQghxHWluZShemYcv9lED4WIH9hHuGf7O9DkZxepLOdRCoIbSAiqgRDlYg1Vs0m2pmntaMEMmHieR71SZ/HCEvVag0a9yUe/+BFC4fW7L/m+ujjFeP1dD03T0DRQCjxPve3jyViYw3u3//Mqri3xkMk/eugA//ejZzizVGEqtzITIxww8JWi0nRJhE32dcb59G39PDjatd0hi8uQBEMIIcR1oToxSeb7j1E5dQa3UkF5HpphYCYSJEYP0PmhDxA/sH/b4rPqDTzHxQwG1l3gF6tNqo6P7fq0tkRp6/rFERHDNAiGgsTTcZbnlpmdmOH5J57nPR++b90Y4tEQwYCBZTkEA2svERzXQykIBAwi4cCa114PlFLYro/rKyIBY81WvWJt3akIv/Wxw3zv1QWenlgmU7ZwPB9N0+hLRzjcl+KDh7q5ZbBlu0MVq5AEQwghxK5XeP4Ys//5T2nOLeBWq5jxOFoggG/ZWEsZrIVFKmfGGfjCZ2m9565tiVE3DDRdQ/lrt9xUSpGvNN/ooBNYZXq2aZq097SzNJdh/JVx7jh6O6GLx5hWc/hgP69NzFMs1UnEI2teWyrXScYjjO3vvaRb1PWmark8M77Mj88ss1Rq4qMImTq3D7fy4MFO9nbKlPArkYoE+Ot3DvKpW/s4tVCm0nQJGDqDrVF602v/2xTbTxIMIYQQu1p1YpLZ//yn1CbPY8bjxPfvQ3tTfYPyPOxsjvq588x+9WsEWltIHDyw5XGmutsJRsIUm8t4roexyqK9Ybs0LBffV4SDBmZ49aQhEAwQDAaoFKuce+0cY7eNrRnDjaMDPP70SXKFKsVynXTy8sXYjaZNqdJgoLeN228a2fiL3MFm83WeOL3EybkSddsjHDAY60lydLSTkfbYZZOEUwtlfu/xceZLDbJVm6bjoWmgATO5Ok+dWebB0U6+dO8wpiF1AlciZBrcPCA7FdcaSTCEEELsasuPPk5zbgEzHifc/fbz2pphEOrqBA2a8wtkvvfYtiQY0VSC3rF9lDM56oUSiVUG6dmOh+t66CjMUJBI8vJD7V4XjoaxLZtSvrxuDKGgycNHb6L+vRe4sFjAshzSqSih4MoRKNf1KFUaFMt1ujtS3HFkhIGea7uDj+V6fOXp8/x0YplczaZYd/B8haHByfkST5xZ4rahVv7OA3svKTaeWKrwrx49w/hSBYCuZIhE2ETTNGzXJ1e1GM9UaLoejq/4O+/ds+5OhuP5LBSbXCjWmS82KdZtyg2HctO9eEQIdG2lHqEjHqIzGaIrGeZgV4KW2NWf8C7ERkmCIYQQYteyMsuUT57CrVaJ7197KF2wvZ3q2XGqZ8dpzM0T6evdoih/Yf+9tzJ3cpzs9By6aRJNJ962KHVtB8920E2DaCq5ZjtZuFiwrRRKbWza8ZFDgziux3cef5liucbcYhENQAPfU8TjYQZ6Wrn9yAgfefDINX38x/V8/u0Pz/KzyRzzxTrpaJChtigBQ8fxFYWazdmlCuWGQ7Xp8j8+PEooYKCU4ivPnGcyUyVo6vS3RC75PARNnZ50hFQkwPlsjafOZLhzpPWSmoFc1eLFmSIn5kucXapwerHCVLaG//Z6+Q0Zboty80Cae/e18+EbuklIXYzYRpJgCCGE2LWqZ8dxK5WVmotV2r6+TtN1zEQCt1yhemZ8WxKM9uE+bv7Yg7z4l49TmMtQL5aJphIYwQDK82lWqjTqFmYwhKfrxNvXHzBmNS1CkTCxdXY63uz2m0YY6m/n2Cvnefm1WeoNCwUETIOxfT3cdtMIw/3t13RyAfCDk4s8dz7PQqnB3s4E4TfVs5gGRNIR2uMhJjMVjs8U+NaLc3z2zkFOLZSZytZoOB6j7W9PAl8XDZl0JsNkKhbffnGO8UyVZ8/lODZdYDpX39TXMpWrM5Wr862X5vntvzjJp27p41fuGWK0O7mp91nNXLHBs5M5CnUbTYPeVIR797WTikiicz2SBEMIIcSu5TWbK92izI39uNMDJsrz8JvNqxzZ6vbdcwvBaIQTjz1NeSlLo1zFrjfQdJ1wIkbrQA+Bhk++VMdq2kSiq7e09VyPZt2irbudvYf3vKM4OloTPHz0Jj7wnsNUa008XxGPhgiFdseC0fMVPz6dYb5YJxUJULVc6rZLJGASCf4i0QiaOkPtMaazNZ4eX+aTt/Tx04kcuapNWzyIvkpy4fmKQt0mW7NZKjUZX65t1Uujbnt89eczfPXnMzx4sIN/8fHDjLTHrsq95ooNvvrsNCfmiuRrNpa7cpQrGjT55vEL3L2njb9+5yDxkCw5ryfy1RZCCLFrGeEwmmHgN60NXe+7HkYohB7e2GC6q2XwyCj9N+xn4fQ55k9PYtebmIEALf3dDN1yiFMvneUn33maQiZPoL8T8zIJlO/7ZJdyxFNxRkaHiSWubIFpmgbp1NVZnL5TSimmszXmCnU8X5GKBhjrTV/RoLVnJ7O8MJ0nX7WpWR5KKUDDMDQSIZOORIhUdKWuIRo0MQ2dxXKD4zMF8jWLpuvR9ZbkzvF8slWb5YpFrmZf8XGnzfTEmWWemXyK33x4lL9x3/Cm7jqdz1b5nR+cYTxTpVS3SUcDxEMmSinKDYeFYoNMpclUrsY/fXhUjm29SdVyeXp8mefO5yk1HAKGRl86ytGDHdzQl7rmdwclwRBCCLFrxfbvw0wksJYyb8y9WI3yfdxymdDePcQPrF2vsRV0w6Dv8H76Dr99NscNdx5mZmIGz3VZms2QSMeJJWMYhoHv+9SrdSrFCsFwiJ6hHu56/53b8Ao2j1KKn09m+eHJBSaWKtQsd2UgoanTlQxz34FOHr6pl/gGF7BzhTq/96NxFksNXF+B62FoGgpF01U0HY9K06E7HaE7GV6Znh42adgeS+XmypBBVq53LyYVi2WLfM1mB+QUb2O7Pv/yr17jL1+Z51/+tcPc0PvuF7B12+V3fzjOqYUyGjDWk8R40+yPtngIy/U4n63z0kyB339ykn/yodF3+Up2hx++tsTXX5hhuWKRr9vYF3d9YkGTn05m2dsZ5+89uI/u1LXbjlcSDCGEELtWuKuTxNhBrMUlrGyWcNfqU3/tbA4jGiW+fx+R/r4tjPKdMwMmH3rkgzz+5z9i+uw0lVKV+akFNA18pYhEw6TbW+jq6+SDjzxEPLXx+oudRinFV396nkdfnWex1KBhe8TDJrqmka95zBXqzOZrvDST5x8+fIi2+NqzPipNh3/92BmmcjV8XxEwtUu6QymlcDxF3fZYLDYI6DrtiZXnVKxMLu9MhvCU4vRClart7oidio14cabIF/7g53z0pm4+f+cQN/avX8Ozmp9O5JjJ13F9n70d8cseFQuZBns7YpxZqvDyhSLns1VG2q/df4ub4buvzvPVZ2c4l60SNnU64iEiF6eUlxoOU7ka2apFueHwv3z0EF3J7d1NvVKSYAghhNjVOj/0ENUz49Qmz9FEI9TedukcDN/HzuZwikWie0fo/NAHtjHajQtFQjz8uQ8xd26OU8dPMzs5i39x2nFnXyejt46yZ2wEc52J3DvdX710ge+/Ms90tkpXKsxQe+ySxWzddpnL13l5psC//cEp/tknbiS0yvBBgB+fzjCRqa4kYgEDy/NXMoeLT6lpGkFTQ9NWahkWyw1a40HqlkcsZPD46Qw/m8yRq9lX+ZVfHeWmy7deWmCu0OC/O7qPe/e2b+hxSqk36isCusYTZzJkqxYd8fCqdSgAAUOnNRokW7X58Znl6zrBOJ+t8mfPzTCZrdKTDNP6ltbC4YBBezzEVK7G6cUK/99Tk/zWRw9dk8elru3/6wghhBDriO/fy8AXP7cyyXt+ger4BGYigR4w8R0Xt1LBiEWJ7h2h/3OPkDh07Rzj0HWdgX0DDOwbwPd9HMvBDJoY63TMulZUmw7fe3kluRhojZK4TEeiaNBkT2eCiaUKZxbL/GximaNj3Zd9Ptfz+fGZDLmqxWBLjJlCjWbdx1MK4y2LOFPXsDVo2h4TSxWWKja2pzixUL0qr3UrNWyPly+U+MOfnKMnFV5z0b9UbvLjMxmemchSaboAJMIm40sVarbLvsj69TnpaIDZQoPJ5Wv/c/du/Oh0huWqTToSeFty8TpD1xhui3FqscKZxQrnsjX2dlx7SZkkGEIIIXa9lrtuJ9CSIvODH1I5fRa3XEZ5HkY4TKizg/iB/XR+8P3XVHLxVrquE4qsfTzoWvPsRJZspUk4aFw2uXidoWt0pcLkKhZPnVnigdGuy/7Wd67YYLF0sSNWxKTVDtGwfRq2Ryxk8uaH+Ao8BWXLp2RtrEnAtaTUcDk+U+R//fZJPnCoi7tGWjnQ9YuWu0opvndiga+/MEu2apGv2jieAhSmrlOxVob/FerOqovl1xm6hu8rbHdjs1h2o6bj8ey5HPmaxf7OtRMGQ9dojQbIVS2eOrssCYYQQgixU8UP7Cd+YP/KLsbZcbxmEz0UuiZqLq5XJy4UKNbtdRewAMlIgLlCnanlGoW6TWvs7clW3fZwfZ+gqaNpGl3JMJWmQ6mhqFnuxW5UGpbrY3nbU1ihaxAJGoRNg3BAx9Q1fAXFhkNLNMBN/Wn2dsTJVJrM5Ou8MluiYrlXdK9i3eaFqTyLpQY/OLnI3o4Yv3L3MPu7Enz/xCJ/8uw055ZrJMImQ21RosGVDlEVy+XkfBnH85nKVdG0OC3R1b9GlutjGvp13ao2V7OpWx6mrhEy199hTEYCLJabLJa3r2X2u3H9fqWFEEJcl8K9PYR7e7Y7DLEBKwmBImis34ZW1zQCho7n+9Qt97IJRsjUMXQN92LyoOsaezrinF+ukqs7VG1/Swu2k2GTnlSYQn2lnmNve4xI0Ljs7kvddjmXrdF0PP72/SNvtHz1fcWpxTJfe36WP3t+9h3uEqx0wnI8xWSmwkKxwXyxyZfuGeJrL8xwPlujNx2+JHnQNI1kOEBXIsR8qUm16TFbaJAMBy7pIvVm+apNSyzIzYNXXlR+rfN9hXpzsc8GKMXF9snXHkkwhBBC7CpKKepT01TOTuA1LYxwiMSBfUSHh67JYsnrWdDUUUpRbDg43spvwaOrLMCVUrieQte1SyZyv1lfS4S2WIipbI267RIyDRbLFss1h4Zz9Y/vxIIG/z977x0d13me+/6+3abPoDeSIECCJChSxerVEilZlkvc5ZPETmwnOSeOaxw7zkp8bmL7npOTdq9zYucmcZw4bnHicuIS27Kt3pvVKLGCAAiiDqZg+uz63T82CLGgDEFSIqn9W0uLErDLNxuQ9D37fd/nuWZjG9dubOWaja1saIvxye88yxOHcvQ2R4ku84Y/amhEDY1s2eTBAxled6EvkhVFsK0nxWffnKI9bvClB0co1BqvaNgutMR0kpEok3M19s+U+Is79vptZCFtycpEazzEXM2mWHOoWS65qkX7Ig5epbpNxXLoa4vx6k3tDa/rfKMpqhPSVGzXw5n/XV6OquUQ1pVlK0NnM4HACAgICAg4byjseoHpn/yc8sihhTkLoaroqSSxvvV0ve41pC7c9nIvM6ABnjucZ2imxFzNJlM2CWkqivCddlrjIVrjIRTht99Yjl+1EELQlYosWr0A3zb1uk1tHJwts2+6RNl0sc5wK9T61iiv2drJjsEOLu9rPqY95nCuSqZsgYSosXLbTHNUZ65qs3+mtCAwjqYlHqInFSZm2EwWGpsbcTyJRKAIwZqmCCOZCuP5GgBbuxNLnpcMa6QiOqbjz7BMF2q0xQw86V/Tk5JS3SFdqtPfFuMNF/XQdI5ulk8HibDOJeuaGM9XyVasZe1npZRkyxa9rbGGXb7ONgKBERAQEBBwXpC+9wHGv/0f1Cam8EwTPZlE6BrSdqgMj1KbnKZyaIx173wb7Tde/3IvN2AJpJR898kxfvj0OJP5Kpbt4Xje/PegZrtUTJfpYh1dVanZLq70w/EMVSFXtXnqUI7L+lpOqHTMVS0OzlbYn674AXtniA3tMd54UQ+v297FYFdiycqZ6fhr11TRUHXNn8fw7WIX45J1TfzoOYO5ms2aVJiJQmP9+7brAjpCCNoSYSbnzwsvk5AuhO925HiSmUKdYt3h8dE87nwrkOdJDE2lOxXmpi0dvPVVwZzTzsEOHh/JMTRbIh7SiC1SsZJSMjFXx9BUeluiXLgm9TKs9NQJBEZAQEBAwDlP4YU9jH/7P6iMjGK0tGD0rkUoL26OQp3tWNkclZFRDn/r/2C0tZLatvVlXHHAUtyxa5Lv/+IwI7Nl2hIh1rVGmS2ZmLa7sOEtWw5lE9/1SYiF9GwLyVC6zF//bB83b+viPdf2oyiCXMXiHx8Y5qsPj1Kx3DOy7s5kiLdcsoZfuriHbT3JhgRD1NB8O1xHIqVc8RzLlaiKWLLacUF3kvWtMSbmakR1lXRZzDs/Lc9c1aFjvlgRM1S/939+NiO0TCePqgh6myNkSiZIcD3Pn28RL04aeFLyi9Ecz/S38qre5hXXcj6zfU2KHYMdWK7LSLZKa0ynJRYiNN8KWDIdZksmnoRNnXF+43r/9/dcJBAYAQEBAQHnPDM/u5v61DRGczOhttYTvi8UhVC732pQn5om/fO7A4FxFlK1HH741DijmTJrmiOkon7LjetJ8hWLuu3ienJ+YNbfxAogrGtEQxp9bTHqtsfwbBl31ySeJ8lUbb7y8CjVMyAsDFXhtdu7eMdla7l+oG3JIeel6EqGSIQ0XM9jPF8jGdFJzKeUL0auYtKRCHPxusWHpYUQ3H75OibyVYbSZZJhjWzFXnEdxfqLx6iK8G1lJZRNZ9nQQiklw5kqElAFrG2O+KJJVTBUgSthtmSyd7rE5+8+wCduHeSCnuSK6zlfEULw3mv7UBXBXXtmyJZNDqRL88PcENYVWuMhulNhPnDTAINd5+6zOisEhhDiHcCNwCXAxUAC+IaU8t2ruNZa4LPAbUArMAV8D/iMlDK/xDkXAJ8GbgKSwCHg34A/k1LWTnYNAQEBAQEvHdXDE5SHDuJUayvazRqtLZT2D1E6cJDq+CTRtT0v0SoDGuGRA7NkynVCmkpqvl9fEdDXFidi1EgX6szVbF9czO/BdVWhPRmmpylCSFeJh0FTFXZNlnh8rMCZGLEY6Ijzy1es422Xrm3IQvd4pJTct3+Wu/bMMJKtULFcDYqYKgAAIABJREFU5moVooZGWFNojRt0JMLHCJa5qoXjSrpSYa7sb1ny2pf2NvMb12/gyw+N+MF2DQiM2lHiy/UkuiaQUjBXtWldZHD76DXlqxaelAy0J+hKnThXEDNUpgp1hmfLfOXhEf7s7Re9os0WNFXhfdf1c8Omdu7dl+aJ0Sx1209I70iEuWlLO9dvaicZXjr3ZSnKpsNQukRllbbFp5OzQmAA/x1fWJSBcWBVSUdCiI3Aw0AH8H1gL3Al8FHgNiHEdVLK7HHnXAXcDejAd4DDwE7gj4GbhRA3SynPv4SdgICAgPOE8sFhnGIJPZE4pi1qMYSioCcSOMUS5aGDgcA4w0gpGZop8eC+GcZzFRxXkozqXN7fxlUD7Se4PT0zlidfsWiJH7tpFwK6UhFMx6NiuaiKRFP8vIqIrrKuJYqmKrieZCxfYzRXO+0zFpoieO32Ln7t6vVc1X/ifEejuJ7kSw8Mc8++NFOFGnXLz0ZwXCibNjVLoWa7FGoOG9tjKMJv8ZopmWxsj/Gmi9esmKNw05YO1jZH+MEzE/zN3QdXXJPlSkYyZdoTYaqmQ+v8kLzteswU63QkQid8Xiklo9nqvNuUSscSQ8tCCLpTYfZMlxjLVdk1UeCita9cu9ojDHTEGeiI877r+qnZR/IxlFX9Xk3O1fjJ81M8OpxlrmoxcxZkZ5wtAuNj+MJiCL+Scc8qr/P/4YuLj0gpP3/ki0KI/3f+Hv8TeP9RX1eBLwNR4M1Syh/Mf10BvgW8ff68P1vlegICAgICzjCeaSI9D9FAeBWA0FSk5+FZ1hle2SubbKnOF+/Zz/6pAtmySaXuIPEzLZ4czvDdx0d559X9XL+lc+Gcimn7ff9LDBcXaw6elMRCfhuR69kIAZbrMV2yGM5WlxyAXi3NUZ1fubKXX7tmPd2pyClf71tPjnHnnhkO56p0p8I0tel+DsVsmVLdnhdRDnXHo2zahFSFeFhnoCPOW1+1htdc0LnyTYCBjgS/d+sg//LwIYr1ld9oTxXr5Co2jie5oCfJGy7s5q49MwxnKpTqDq1xg3hIQ0oomQ4zxTpV20UR/r2W6w4TQtAaM8hWLB4dzgYC4yhURZxSAOGu8Tm+cM8BxnI1chWTsKbivpRhLktwVggMKeWCoFjtGwEhxAbgVmAU+Nvjvv0nwH8Dfk0I8XEpZWX+6zcCW4H7j4iL+fV4QohP4guM9wsh/lyeq0knAQEBAec5aiSCUFU8szHB4Nk2WiyKGl7aJjLg1MiW6vzFf+5iz2SBuYpFSzzEmpYoihDUbZdsyWR6ruZvqG2Xm7f7lSRD9a1oF9sgedIfGJbSD9WTUuJJqLuSp8aLpz3HYkN7jN+6fgNvu3TNkrkaJ0uuYvHz3TOM5ar0t0YXXIRCmmBTZ4J0sU6uYmHaLlXbDxnsbYlw7cZWbt3WxWXrl26NWopEWG9IYLiepGjbhHUVT0p++YpeLuhJ8eUHR5gp1cmWLSbn/DfjUUOlLW5gux6qIkhFVm7niRoq5ZLJXHXllq2AxjiUrfA3dx9g33QJQxVs6ogT0lReWMb966XirBAYp4md83/+TEp5zH9lpJQlIcRD+ALkauCu48654/iLSSmHhRD7gc3ABmDFGqMQ4hdLfGtVLV8BAQEBASuTGNyMnkxQn0kTns+9WArpujjlCpGuTpJbt7yEq3xl8S/3D7F3skDNctnSnUQ9qnUtrKs0RQ2yZZORdIl/e2SEzd0p1rXG2NARJxnxsx7ix/WgK0c5E0kJdUdSR8GzAU6fuLiir5nffvVGdg52nHYHn/v3p8mWTeIh9QSLUl3xcyi6U2FKdYdcxaJmu2xfk+IPX3/Bqu+pq419BoEgbqi4voUUjwxnuWlLB9t7Ujw6nOGhoSzZiokQgo5EiC2dCf79ycOM56oNXV8CCHHSg/ABS/O9pyc4lK0S0hTWNUfOqtmW80lgHPk/xf4lvn8AX2Bs5kWB0cg5m+f/WrmJMSAgICDgJSfc0U7ygq3Up9OY6VnC3V1LHmumZ9ETcZLbti64SgWcXsYyZXZPzJGvWGw+TlwcTWs8hGm7zJbq3LN7il+/YYBXD3Zyx3OT7Jsu0uG4GMe1vUUMlbLpkDNdbHnEQ+r0sHOwgw/ctJHL+06+StAouyYK5Ks2XcmlB6cV4VcE4iGNF6aKTBVq1CyXSANBfItRsxtzz2qOGXQmwyhApmxyz940N25uJ2Ko7BjsZMfgsa1ZVcvhx89PYXsepuMt2dZ2hGLNJmao9DSdfOVwcq7GPfvS7J0qUrc9oobK1p4k3akwpu3hSUlz1ODidU2nrdp0tpMpmzx9OM9c1WLrMlkrLxfnk8A4kkRSWOL7R75+dOPfas5ZEinlZYt9fb6ycWkj1wgICAgIOHm6XncLpf0HKA8NU5ucJtTRhqK9+L84z3Ew0xncWpX4xg103XbLy7ja85sH982QK5s0RQ20FYbuW+MhhtMlHj84yzuv7qcrFeHyDa0UahbDsxX62mILG0bb9ai6UPZOr7C4bVsXH9o5wPaTCDRzPUmuYmG7HvGw1rDjT9VycTwPXV25hUVVBJoicD1JxXJWJTCklOQbbEna1BHHUBU8KZkq1Dk4W2YsV2V9a2zR46OGxlX9rYznqmTKJmualp5PcVyPfNVmsCvBqzd3NLz+uu3y5YdGeORghmzFolCzcVwP25X84NkJ5HwCekvMIGyodMTDXLepjTdd3ENiFS5M5xLPjc8xV7VJhH1b4LON80lgrMRCZfUMnxMQEBAQ8BIT6++j7z3vYvQr36A2OUV56CBaNIbQNKTj4FQr6Mkk8Y0b6HvPu4j1973MKz5/mSrUqFgO7YmV31SHdBVVEZTrDtmSyZqWKO+9YSO5sskzh/IMp8uEdQVLCiZLFv789qmLCyHgjRf18OGdA2zuTDR8Xq5ice++NPfvnyVbMfE80FTBYFeCHYOdXL6+ednNXkhTUIVoyOHKkxLXk6hCrPqtfK5iYTUw9C7wrWonKv7PrlR32DNV5GuPHuI91/SxriW66Hk3b+3g/v1pDqTL8/a6J1ZmHNdjJFOhLR7i4nXNywqRo7Ecj7++cz+PDWeZnKvRFNXpSYWZLtapmDY128WTkrrjYrkeUUNjIl9jYq7K8xMFPnHrlmUtds91KqaL465cOXq5OJ8ExpFqw1KvIJLHHbfacwICAgICzkKaXnURm5qbmLnzHgrPPY9dLIHrQjRCZG0PqYu203nLDmJ9vS/3Us9rPM/v4W9UBhxp7fDmvVSihsYnXr+Nf39slB89O8muqTK10+QMJQS8/sJuPnrzppMSFgDPTxT4wt0HmCzUyJYtf/OvgO1KDueqPHN4jkt6m/nwzk1LugJt7kzw5GiOfNUiFtKozw9y+yJCOSZgr1iziRi+BW9sle1Ro9nKygcBiiI4OFvGcjxsT+K6Etv1uHPPNPumi9y4uYP3XNt3QuWlvy3Ou67u42uPjDKcKZOr2rTFjIVB8ULNJle1aYkZbF+T5Dev72947T98dpInRnNMF+sMdMQJ6yqHc1UKNQfL9YgZKkJAzfbTw1MRnURIYyxf5ZmxPH99537+rzduwzhLN+CniqEpKIrAPs3mBqeL80lg7Jv/c/MS3980/+fR8xarOScgICAg4Cwl1tfLht96D1YuT3noIG7dRA2HiA9sxGhpfrmXd15iOS5PDmd4cO8Mk/kqQzMl8hUL1/NY35ZYdoPneB6W67cMJY9yIsqUTR4/VODxw8XTts7XXNDJx2/dvKp05KF0ic/duZ8DMyVURbC2OTK/wfVbmOaqFmO5KjXLRUrJJ24dXPRz7xjs4EfPTfH8pN/eYrseUvrCR1cVWmIGbfEQuiqYKZl0JsPsHOxYdX/9/plyYwdKSdVyMVSFmC6oSI+IoaIg2D9Tomq5VC2HD+3YdMLg+2u3dRHWFf798cPMlHwXLLtsIoB4SGNTR5xtPUnef+MATdHGQgktx+O+/Wmm5mr0tkQJ6yqm45GdH3yPzVe+AMK6oO64ZMsm7YkQG9tjHEiX2Ttd4slDOa7deH7OWg10xEmGdYaKJj1Ncsn095eL80lgHLG6vVUIoRztJCWESADXATXg0aPOuRv4FH7q9/86+mLztreb8VO9h8/gugMCAgICTjNGSzMtV17+ci/jvGckXeLv79zLeK5CrmRSMR0s18W0XdK2Q9V06GqK0rlEfsRcxSIZ1tm+rolU1KBuu/zj/cP87b1D1E/Tm9lrN7byydsGuWTd6rIXpJR87ZFDjGbKRHSFNU3HuvWoiqA1HiIR1hmaLfP0WJ4HDsxy89YT8yqkhGLdwnYl5bqJMj9nISVUcalZLrNlk5CqEA1p9LfFuOYUNsjPjc81dqCAWMgXFJbjoSmCVMS/f81yGc6UeWgow4Vrm9ix5cQZihs3d3BVfyuPDmd5YjRHoWajKYLelig3belgQ3v8pNb91FieqUINVREL1ZtcxfTFqHKsE5WmCOrSH2Yv1x0SYY2ORHhhUP18FRgb2mIMdMQZz/sVtfbE2dUOds4JDCGEDmwEbCnlgrOTlPKgEOJn+E5RHwQ+f9RpnwFiwD8clYEBcB+wB3i1EOJNxwXt/fn8MX8fZGAEBAQEBAQcy+hsic/9+HkOTBWxPY+2eIh1bX6v/u7JIoWKRanu4OUrSPwk7qOpWQ6zpTp9bXFu3NrNPfvSfPoHL3Ao25jt6UpsX5PkD24b5PqBtlNy2BlKlxmaLVMxXbZ2L+3WY2gKPakw6ZLJPfvSJ1Qe5qoW/8/P9lG1XL8lylBxXH97oavCz/SwXSqWQ9TQ2NqT5Hdv2XxKrki/OJRv6Dh/BsNDEf4wfSyk0Taf5h0xVHqaIkwX69y9Z4abNrcv+gzCuspNWzq4aREBcrJMF2pULZdkWF+4V7HuYLse4eMqQwIWhuFNxyWBRnNEZ2KuxoF06ZQcuM5mhBC84aIe//czXUYR0BIzzho3qbNCYAgh3gK8Zf4fj/gLXiOE+Jf5v89IKT8x//dr8EXBIaDvuEt9AHgY+BshxM3zx10F7MBvc/rU0QdLKV0hxPvwKxnfEUJ8BxgDbgYuBx4CPncaPmJAQEBAQMB5g5SSf7nvAEMzRRRFsLE9cUyLRl9bjGFPUq47lE2XyXyFRFgjFtKxXY98xSRbMulpibJtXQt/d/8wP31h5rSsbW1zhE/eNsgbL+w+LTkWj45kyVUsWmL6im0oyYjOxFyd0UyFw7kqvUc5MP141xT7Z0rYruTS3ibSJZNsxcJ0PFzPQwh/M+94cj7XIMra5sWHqxshXao33CLleBLX8+1sNUXMZ5W82LKWiuhMztUZzlQYzlTYeJIViZNlfoyHox+35/khi2Kx6R7hH3/kdbCiCFQh8DxJzT4/BQbAFX0t3H75Or715GHGshXSJZPmmNGQicCZ5qwQGMAlwHuO+9qG+b/AFxOfYAXmqxiXA5/Fb3t6PTAF/A3wGSllbpFzHhNCXIFf5bgVSMzf77PAn0kpzVV9ooCAgICAgPOUvZMFRmfL1EyXzT3JEzbeibBOX3ucsUyFsmlTNV32TBSIhTU8CU1Rg/XtcTTD4MuPjTec1bAcqYjOh3cO8GvXrCeknb4NZbFmYzkuTQ2kVSvzw9qm41GovWgPW7ddHhrKkCmb9LfG0FSFnqYInckwhZpN3XaR+HMYibDGwXSZ4dkyk3M1ehp0XTqeBw9kGjxSInhxMy+Zry6VLTrm224UIYiFVGqWS6ZknnGB0RzVCWnKManfiiIQAqQvPY453vUkmqagz1c3PClxpURR/J/H+cybL1lDa8zgB89OMparUqhaC4YJLydnhcCQUn4a+HSDx46yjDmFlPIw8L6TvP9u4PaTOScgICAgIOBsxfMkI1N58qU6QkBrKsr6ztRpa594eL+fddESN5Z8q5+K6Ax2J5kp1jicrWJoCv3tCUK6SnsqygMjeQ5ls6e8Fl0V/Po1fXx4Z+NDxCeDIgQCv4WpEY4MbR8dMLh7qki6ZKKr4pi36aoiaImduOZUVCdftXnyUI43Na1Z1brv3NNYRUggMDSBrgh0VcGVkprtMTFXJRZSiRna/HHzn29Vqzk5Lu9roS0eYnKuhum4hDSVREijULWxXcnRXVKu9CsbYU0hGfbXOle1iYc0+tviRI2T2+p6nmTvdInZch2AtniIrV3J057qfjq5flM7125sY9dEgd1TBfb8nUHpZV7TWSEwAgICAgICAk4d23F5aNdhHnlhnKlsCdNyQUDY0FjXkeK67Wu56oK1p7xZypZM6pZLU/Pyb9d1TWFNc5Ri1WJda5zfuWWQ7z4zydefHD+l+x/htds6+cPXbaWvbfEwuNPB2uYosZBKsW4vKgaOxnY96o5LzFDpTIZ45nCe8XyN5ycKZMsm+grBg0cIayqW61GuO6tac912uW/fbEPHaoogcZStrorAkxLT9pgtmcRaNaSUVEyXjqRCW/z0i7jjSYR1rupvZWquxliuxoa2GK0xg5lSnXLdw1AlqiLwkNQsl5DmO3Ap865e6ZJJd5PvwNUojutx554Z7t6b5nCuulBVC+sq65qj7Bhs5zUXdDUUkvhyoCiCi9c1cfG6Jv4qHuLQy7yeQGAEBAQEBAScB9RMmy//5Bl2HUyTKVRxPUk0pCORpPMVprNlRqfy7Duc5d23XnRK6b8rvcWWUlI23YX05WLNJT9d4df/5UnM05BpMdiV4I/feAHXDpx5h6AbNrXxH0+PM12oL7xNX4pM2SIZ1oiHdP70x3uYmKvOz6E4pEt+x7WiCLqS4WXtez0pEUKs+md0z940FauxtjMpJJ481ubUUBXKlutXDJollbqDrin0tcXOeHvUEd5x2Vr2Thd5brzAgXSZjkSI5qiB45pUbBddEdiuh6GpJMI6HckwpuMylqvN2+MmuLK/paF71W2Xz999gMdHskwX6rieJBbSEEC6WGciX2UkW2bXRIGP3nxqg/evFAKBERAQEBAQcI4jpeQbP9/F0/unyRaqdLbEiUdedJSRUlKqWkxkSri7J4iGdN65c9uq79eWCBE2VCp1m9hxoXKuJzmUq5Kv2liOR931sKSC5wCcmrhoiup8/NYt/MoV605JIJ3cPQ2u3tBKtmwykqmyoS22qDjIVSyyZZOwoTKSLTNXtZFSkgzr6KqClBLT8Zgq1CjVbTa2xxfdqEopmava9DRFWL9EgvZK/ODZyYaO0xRBSBXUbJeori78vihCoAhwpKRUt5maq7OuJcrOLZ0vmUtRU9Tgk68d5HN37mcoXSJTtijVbVxP4nkS0/NFka4K4iGVsWyFqu3Snggx2JXkY7dsbmgWR0rJlx4Y5uGhDFPFOuuaIiTC2rH/7tQdxvM1HDdLWDvIR27edNa4NZ2tBAIjICAgICDgHGdoIu9XLuaqrO9qwjhu4yqEIBkLYegqYzMFHt09zo2vWk9n8+reRl+zqZMH9s5waLZMWzK88PZbSslotkq2YlG3PaQiqKMeawe0ChQBv3pVLx9/zRaaV2hTWorpQo17983y9FieiulgaAob2+PsGOxga3dy2Q3ju69ez0S+xlNjefbNlGiK6jRFdFRFULc9P1zO8xbEVqZksa752I2q6XjMlupYjkdJOgzPVtjSlTgm0wGgZDp4SLqbwly6/uTDIfMVi7v2pBs6tiNh4M1voMvzQXu6Ou/TJCWW7TGWq9LbHOXqDa3ctKX9pNdzKnQkw3zmTdt5fCTL3XvTjGTKOJ4kW7YWMjGOtPvFQjqbEgZX97fytkvXNjyPM5yp8OhwlslCjYFFRJ8QgmREZ6OucCBd5vHRHAdnywx0nFwS/CuNQGAEBAQEBASc4zz6wji5Uo3mROQEcXE0YUMjETWYK9d55Plx3nLD4Krut3VNir72OOlijYlclbUtUYQQ5Ko2+apNzfawhMpp6Ibi0t4mPvvm7Wxfk1rV+Y7r8c3Hx7hztz+Ynp9P0FaE4IWJAg8NZdjaneSDOzctOWMRNTQ+edsg//TgME8eypMrm0wXTaSU6KpCWyJEc8QgXa4zU6yzoS12wnBxRyJEqW5TMf08h4rlkKscG5BWNh3f3rYlxs1bO1fV7/+DZyex3MYefMVyaIoaeBJM28X2JKbpIZG4niSi+4FuN27u4Ldu2PCSVY2OxtAUrt/UzvWb2qnbLnXbJayraIrgmcNzTBXqeFLSFNW5bH0L8dDJbW3v2ZsmWzZpiRrLtj6FNJXWmEF2PsAvEBjLEwiMgICAgICAcxgpJXsOzVKsmGzoWfmNd1M8zGSmxJ5DGd5yw+ruKYTgvTduIlsyGZouMjRTojVukC5ZFG0PE+WU7YZaYgZ/+LpB3n7p6ofSpZT804Mj3LV7mrFclWREZ11LBENXcD2/FWkkU2GualGuO/zRG7aSWuLNdyyk8ZGbNzM5V+O+/WlGMxUsVxIPaVy2vpls2eSrj4wSD2mLOhelIjrdTRGm5mqUTYeK5TIxV8NQBa6EfNWiZnv0tkS5cUsHb7ywZ1Wf9+uPNj7eWzVdHNfE0BTiYR1NgarlYToujifZ2p3kT996IQMdiwcMjmYq3H9glvG8P/OTivjD2Zetbz4jYiSsq8eIgMv7GpuxWI7nJwrkqzYb21c2CmiJGQylKzw3UTjl+57vBAIjICAgICDgHMZxPWzHQ0rQG+g5NzQV1/OoW6tzKDpCX3uCj71+G39/514m8lXGslUmqh6eOLWNpRDwK1f28snXbjll29lHh7Pcuy/NWK5KX1vsmHkRTYHOpP9WeiRTYfdkgX99bIzf2TGw7DV7miL8ypXrT/j6n9+xh0LNpj0eWuQsn+5kGF0RTBVqfqXHckmXLXRV0BIL0Z4wuHmwk7dftm5VouqxkRwH0o2F60V0hYiu+NUU08WT0B432NIZZWi2TG9LjA/uHGBTZ/KEc3MVi3+4/yC7JwtkyhYV00FKSUhTefBAhjXNEd599XouW3/qAuBMU7UcHM9bduj+CIaq4HgeNctFzg/iByxOIDACAgICAgLOYTRV8WcghMT1vGPyFxbD8TwUoWCchjC6DZ1J/vjtr+KPv7eLh8cryFPccG1oi/H7r93CzVs7G9rwrcRdu2eYKdTpSoVPGEY/gqYq9LXG2DdT4onRHP+lYq1oR7sYNct/66+pyz+DtniIlliI5ybmiIc0dg520BYPs7kzzrUb25ZcZyN8+aGRho+VUuJJX3BqiqRiu0wV6+SqNutaolzW18x1G0906cqWTf70x3vYPVkgV7VoiRp0JsMIIanbHpNzNaYKNXIVi9++cSPXLnKNs4mQrqIqAseVGNryPztnfrA8pCmBuFiBQGAEBAQEBAScwwgh6Otu4vBskWLFpDmxfDZFsWISjxr0dTed8r13Txb5+LefZc9U8ZSuoyqC3uYwHTGdrz8yyh27Jrl+Uzs3X9BJS2zpisByjOeq7JspUbUc1rcu78aka36Cdq5s8vBQhjdefPLtSRHDnwuw3UZ6wySaEKxvifLhnZtXJWiOZyxb5We7GwvX0xWBrikLWQ8CP2DOkpKmiM71A218cMfAom1OX5yvXJRMh5aoQb5qM12sI+YdnfzEc8FQusw/PTjMxvY4ncnwKX++M8XmjgT7povkq9aK68xXLFIRnc2dwfzFSpydaSEBAQEBAQEBDXPNtrU0J8LkijVcb+kBX8f1yJfqNCfCXLNt7arv57gen7/rAG/+2wdPWVxENIXOuI5lu0wX6xzKVvjFoRxff2SUP/6PXeybXt310yWTuu0SNbSG2o0SIZ2q7ZIu1ld1v209KVJRg1zFWvHYYs0mbKj0tsZojuqrut/xfOnBYWSDcy8bO2Ksa47SFNWJhVQihkoyrKGrCu2JMP/1hg2LzpGMZMq8MFlkulinULUYmi2TLtWZq9rkKxaZkslYrsZsuY7jecwU6tyztzFHq5eLHYMdtMVDZMoWzjLD8Y7rkalYtMVD7DiJAL9XKkEFIyAgICAg4Bxn+4YO+rqaKFVNDqeLrGlLnDCPYdoOE7MlWpJhtvS20r/KCsZQusTvfetZnhs/tUFXgSSsQEtUZW1LlHjIt3SV0k9nni7WeWGywF//fB+fesM21s5nQpTqNg8NZXjkYJZc2UJRoCsV5oZN7VzR37KQfSCl9AfNG+1kEYBc/Wz6DQNtfO/pCabnalRMZ8lWJ9eTzJRMOpNhdmzpOC2tNpmyybeePNzQsYYq6E751sKdyTC268/vqKpgOF0maqgUa/ai8y/37ptlNFuhVHdwvROflARMx8V0fGFn2jUeHJrl7ZetPWsTsLf1JNnanaRQszk4W2F9a/QENynTdhnNVWmOGgx2J9neszpHs1cSgcAICAgICAg4x9FUhfe9/hL+4fu/YGgix8hUnmjYIBry346XaxZ1y6GtKcrgulZ+/bUXn/TG1vMk//zQCH/x031Yp+g/G1ZAlZKwrrKlO3VMirQQgmhIo78txuFclZHZCt9+8jAfu3ULD+yf5euPjjJbMsmWLUzHb/GJGhpPHcqzpinC+28aYLA7SWs8REhXqZrOCUnVi1ExHcK6Smt8de1KqajBLVs7KdRsRrIV1jZFSEX0Y55z3XY5nK8RNVQG2uNcd5qSyL/0wAh1u7GfydrmyMKzUASEjpp1kUgEYsmKz/6ZIlOFGq7n6zFF4ZjnKqWfQg7+8LSmCGaKfoXjaDveswkhBB/euYma7fL8RIGh2TJRXV1I8i6bDlXbpTMRZtuaFB+9edOqXc1eSQQCIyAgICAg4DygLRXlQ2+7gh8+vJ/nDs6QL9Wx5nvsU7EQ/d1NXLq5mzdcs4lo+OTacg7nqnzi28/y2EjulNZoqIKkDq4rcTzBpuPExdEIIehpirB3qsizh/N876lxvvvUOMOzZQxNoSMZImqoSKBUd5gp1pktmfzVT/fx+7dtYXNngg3tMcbzVQo1m+ZlHKkc16NYs+npipzSUPLtl68jX7W4d1+aybk6k4U6ybCOIqDJPE3vAAAgAElEQVRmu9Rsj/aE4SdNv2bzsrkLjZKvWHztkdGGjlUErGlafEbniDVtLKzStoQT1hOjeY50EWmKOKE6JASoQixUN1xPkqtYy7btnQ00RQ3+6PUX8O0nD/PIcIZMyaRmeyAlTTGDgXiIqze08s7L15E4yX93XqkEAiMgICAgIOA8IRUP8+5bL6JYMXn6wDT5Ug0hBK2pCJdu6j5pYSGl5LtPTfDpH7xA2Tw1W9ukLliTChHWVGbKJup89sJyaKpCMqIzWzL50gPD5CsWbYkQbce9DW+JGTRHdSbyNQ6mS/zDvQf589svZudgJ/umS4xlq0SOy1A4gudJxrJVWmIGl/Q20XEKA8mqInj/jRvZ1JHgzj3TjGarzJbqVE0XISAV1tjek+LDOzfRlVp+GL9R/uH+YSqW29Cx3anwku5cmbJFSyzE1f2tiz6nuaq1MJ+iCJZtPVOEwJkXGcWaTWyReY6zjXhI433X9XP75et4YiTLbMkEoC0R4sr+1pMO8HulEzytgICAgICA84xkLMSNl5yY1XAy5CoWf/R/dnHHC9OndJ1UWOPydUm6kmHWt8WJhDS++4vDDbf0hHWVbNlcaJ06XlwcQQjBmuYI+2fKTMzVeOpQnus3tfHM4TyO6zGcLtMcN2iNhTC0I0F7FpmSRdRQ2dyZ4F1Xn9ozO7KOWy7oJB5S+ccHhsnNv+mX0rc53TdT4jP/+QI3be7gnZevO6VAutmSyVceHm34+KWqF9mKRaFms6kjzs1bOxc95vGR3IvzKZJlcyCEWBhpQVUE4hxqKYqHNHYMLv4MAhonEBgBAQEBAQEBx3D//lk+8e1nSc+/xV0NioD337iRj96yaWHwGuCB/bMoQiz06q+E50kqpotQWBj0XgohBG1xg2zZ5IEDs1y1oZXf2TGArio8cjBLtmxyYKa00MKTDOv0NEXob4/x0Vs20544PXaqd+6e4SuPjDCaqeBJSVs8ROiIqKlYTM7VyJUtpot1PrJz06pFxhfuPrBgNbsSibDGWK5Ka8wgFXmxbStbsbBcjw3tcX71qvWsb1080TpftTi6cLHc/Lw86mcbC2kcrS9cT/Ls+ByPDWcp1GxURbC2OcKrN3csKYACzj0CgREQEBAQEBAA+EPIf3HHPv75JALbFmNzZ5y/fMfFXLzuRKeq9a1R4mGNqUJtxeFrKSVzNQshACmIGivPLMRDGumiyWzRF0chTeUDOwa4dVsXd+9N88xYHtPxUARsaI+zY7CDy9a3nJZgP4D9MyW+9ugoQ+ky7fEQbXHjmDf9LTGDquUwkqny8FCGtU0R3nlF70nf53Cuyr8+PtbQsQK4ebCd2ZJFpmxyKFdFIjFUdT5BPMQvX9nLji1L268qws/OUBXf6UtKcKVEESx8PiklEhbschUBHYkQkfmWq2cPz/G1R0cZz1fJln1hI/BFyE92TXHxumZ+8/r+U05wD3j5CQRGQEBAQEBAAPtnSnzkm0+zd7q06msoAn77xo387nFVi6PpbY2xpSvJRN5/i79UyxP4w9tIP23Z85ZuyTmClFAxfZvUyUKN3ZNFBrsSKIpgU2eCTZ0JpJTYrkRXxRlJY/7p89NMFWo0RfQlnZOihsb61igHZ8t8c14kNEUNLlqbang248/u2NtgqB+84aJuPvdfXsW+mRL37ksznq/huB6piM4Vfa1cO9C6aO7F0fQ0RWiLhSjXHY7MbHv4aeBSSr8lSvq/A4oQuEjCusINm9oRQvDEaI4v3H2A0UwF2/Noi4VoiRp4SIo1m73TJbIVi5linT96/dZAZJzjBAIjICAgICDgFYyUkq8/eoj/8aM9mKdgP7uhLcZfvfNiLu1tXvHYW7d1sWeqyMF0GU0Vi24my6bDeK5Kb2sUx5VMFurULJfIIlUM6cFsuU6mbFGq29iuP+vwf//nC/S2RNkx2MEtWzvRVAUhBIZ2ZmYC8hWLp8ZyFGo2W5ZJe56r2cwU65TrDvumS3zhngM0Rw1SUYOL1qR4y6vWMtARX/L8p8by/Oi5qYbWpAj43Vs2I4RgsCvJYFfypD8XwGXrm9nYHmMsV0EoAiFAEcpCjgYAAjRV4Hm+8GiOhrj98nWkS3W+eN9BDs6WSYY1upKxY8RdMqzTlfQYzlR4fqLAF+8f5pO3Da5qnQFnB4HACAgICAgIeIWSq1h88jvPceeemVO6znuv7eMPbhtcdPO/GFf0t/KmS9bw/afHOZSpMFsyaYkZGKqC40nyFYua7dLbEuXGLR0kIjr/9tgY2bJ5whyG60lGZivM1WxM28HxJLqqoCuC0WyF8XyV4UyFFyaLfGjnwJKVldVgOR5l00ERkAjrjOWqlE2HiK4uGSw3XawzOVejbns4nt9iZDkeVctlqlBkaq7GnukiH7hpgMvWt5xwvudJPvvD3Q2v8S2vWrOsWGmUsK5y05YORrJVhmfLgP/sQ+p82xS+WDVdie1JEmGNX76yl/ZEmG89McZUsUZIU+hKhhetHGmqwoa2GHtnSuyamGMsW6F3iXmQgLOfQGAEBAQEBAS8Ann4YIaP/fszzBRXP8jdkwrzl7dfvKrAuNsvX0dz1OAHz0zMh7FZFDyJKvw5hbZEiFsu6OKtl65lpljn5y/MsH+mRL5qvZhpIeFQtkq+amHaLqqioKuSZFhnc2cCIaBYdzicq+J6HlFD5XduGlj15z3CULrE3XvTPDGSo+64CCAVMVjbHMF0PNQlWq9yVX/Au2q5GJqCrqq4niQe0ultieJ6kqlCnX3TJf7u3oP88RtDJ2yyv//sBM8cnmtonYaq8LFbNp/qx13gLa9ay8HZMlJKRjIVhABbSkxbIvHnMvxnoXPbtm4+tGMAx/V44ECGXNlifWt02bY0TVVojhpkyxb37p/l168JBMa5SiAwAgICAgICXkE4rsf/vusAX7hniAaNnBblra9aw6fftI1UZHXBY0IIXrOti1dvaefx4RzPT8xRs1xCusLmziTXDrQRm88e6GmKcPvl6/jmY4cYzlQo1Rxa4waeJ5mrmNRsF00RSCRRQ2Nda3QhbTkV0QlpCkPpMg8fzPCGC7tX/Wbc8yT/+vgYdzw/RaZszjsr+YasihDsmVbJlC1UIU6wcZXATLFOzXYJaQqGqlC3/XwMTfWPUxXBmqYw4/kah/NVfrRr6hhBVDYd/teP9za83ndd3cu6FZy3TgZDU/jYa7aQiho8fDDDeK5KtmLh4CGEQtRQ6U5FePula/m1a/oQQpCr+s9JwopzHuD/vKYKdQ7nqqdt3QEvPYHACAgICAgIeIUwOVfjI998micP5Vd9jVRE53++dTtvvKjntKwppKncsLmdGza3L3vcGy7qRgj4zpOHyZYtDueqzFVtTMdFEQJDVTB0hfUtsRNET1hXaY75b8bv2ZfmPdf2r2qt33xijB8+O8FotkJrzGBzR2LBfapqOcyWTEzbxZMwVajTc5TtaqnuULNcpARdVRaGzaMh9Zj1CiHoTIbZny7x5GiOuaq1MKPy+bsONGwdnAxrfGTnplV9zuUI6yofuGmAt1yyhnv3pdk/U8J0PCK6ykVrU7x6cwctsRdnahzXd5ZqNApDEcw/m7M7/TtgeQKBERAQEBAQcBZTqJgcni1i2R6RkMaG7iZCiyQtr8TPd8/w+995lrmqveq1XDfQyl/dfjHdpymF+mQQQvCGi3q4oq+F+/bN8vDBDA8NZbBdj5aYQXsiREvMWDJToiVqMJqt8Nx4YVX3H54tc8fzU4xmK6xviZEIH7uF8p2hNEzHY7pYZzRbpS0RwphfT9l0FtyrkNK3ylUEMUMjdtzsiqEpRHWVuZrNgXSZK/pa2D9T4p8ebNw++MM7N9EcO3NOTD1NEX71qpWDCZMRHV0R2K7E8Tw0ZXk74JrtYWjKqitjAWcHgcAICAgICAg4CxlLF7nn2TGeHZ6lVDPxPImmKrQkwlyxpZsdF/XS3EAwnOV4/MUde/nSSWxOj0cAF/ck+Of3XLEqcXM66UiGuf2KdbztsrX85lceZ9f4HBf0JFe0nDU0f4C80WC647lnX5pMyaQlapwgLo5mQ1uMfNXC8SR7por0t8VIhDQ8T863TUHd8XA9SSyk0dO09NCz50nqtouUkv/+vedxvMZ62vpao7zn2r5Vfc7TTTykceHaJsbzNfIVe0nr3iNkyyZdqTBX9re+RCsMOBMEAiMgICAgIOAs48n903zjnt1M5yoUKiYRQ0NVBZbjMZEtM5Et89TQDP/tdRfT27G07ejhXJUPffNpnm1wKHgxdAHtUYWoBs+M5bhq4/KtTGcSZ75tRlMVFOG3VymKn5B9ZI5hyXM9D0UIQqsI1HNcj0cOZpktm6xviWG53kJl4ng0VaG/LcZopooiBFOFOuOexHI9rHlL17CuEA/5WRiJ8OJv6m3XQ1UEEV3lO78Y5/GRXMPr/dQbLjhtwYGng5u2dPDkaI6RTIVEWCO8hEidLZlIoCsZ4Yq+Ex20As4dAoEREBAQEBBwFrHvcI6v3fUCI9MFYmGdjd0p9KOsVeuWw8xclb2Hc3zxJ8/ye2+7nJbEiS1LP989w8e/9QzFurPqteh4NOuClqhBtmxy/96Zl1xg5CoW9+9P88CBjD8sLKE5ZnD9QBtrmyMcnC2Tr678ZjxfsUlFfHepk2EsW+FHu6Z4eixPqW4znCkjhCAR0miNh2iK6hwvbVIRnVhIZUNbnDXNUSbnahRqFrbjYToePakI7YnQkhtty/GoWS5NUd9N67e++mTD63315nZu2bp0IvfLwaW9TVy1oZW643JwtkJnMkRz1ECdH8yo2y6Zskmp7rCxI86vXNV7VgmkgJMnEBgBAQEBAQFnCVJK/vPxg0xkyiSjBh1NJzoAhQ2N3vYEY7MlDs0UufuZMd5xw5aF79uux1/+dB9fvH941esQQJMOzAemhTSFfNViZLbMXbunGctWsF0/6+CK/lY2dsTPSCr2ffvTfO2RQ6RLdbJlC9Px25tCmspQuoQxn8EwWzZpjulL9vfbrke2YrKxPcGOwcY333ftmeGrj4wyVahTqvsZG1XLQUpB3XYp1G2aowbrW6PHWNNKCYoi6GuP8T/efOF8PobN3917kOcm5gjr6pLiQkrfqrYlZnBVfwt//fP9Dc/N6KrgT37pgjPyszgVhBC8/8aNSCl5bCTHbKnOVKGOoSlICY4naY0ZbOpM8N5r+7h248nbHgecXQQCIyAgICAg4CxhLF1kZHqOmmWztm3pcDQhBJ1NUcZmSzyxf5o3XrWRsKExXajzoX996pRcogwBTQaoAurzRj4SqJoOz47lSZdtyqaDJyWGqvCT5ybZ0JHgl6/qZbA7ter7Hs8DB2b5x/uHGc6Uiegqa5sjC8PQFct/4z1rOYBAUwTDsxXWt0ZPCNKr264/cB0PsX1tatmE7aN5eCjDlx8a4eBsmURIJRXRKNUdwrqCqvgJ1jXLxfN8V6f+tthCJaNYs4kZGt3JiC802nxb3Pde18//vnM/Q7NlPClpi4cW3uKDL4SmCnUs12NjR4KmqMH3npls+Jn91xs2sLH91EP1zgRhXeWjN2/myUM57tmX5oXJIrbrIYBEWOOaDW3cvLXztNrqBrx8BAIjICAgIAAA6brYk5NYIyPYMzM4s7O4mQxepYp0HKTjIFQFJZVCa25GbWkltKGf8PbtqMml5wACGuf5QxkKFZNULLSQ47AUYUNDVxXy5TpDk3kKjuAj33yabMVa9f3jGsRVOPIC3PEkuqYwPVfDcjwczyFcsUhFdRThv8U/mC4zOVdjPFflAzdv4tJF0qdPlmLd5quPjDKcKdMeD9EWP7b9KR7SiIc0MmWT6WIdVwqaIjoH0mWihkbcUJH4zk1126MzGeKitU18cMdAQ2/3Tcflm4+PMZKp0JHw76+pNeqOh+VIIrpcqJ5ULdcPCawZNEV0PCnJVizWt8Z49XHWu1f0tfDuq9fzjccOMZH3E7uTYR1NEViuR7nu0BQ12NKV4Deu6+dj//5sw89sTVOED58BW9rTiaIIruxv5cr+VvIVi7mahaYoy7aLBZybBAIjICAg4BWItG3q+/ZT3/Ucted2Ud+zB2tkBGmuLtXZ6OsjcvllJF/3OmLXXINYwYoyYHGqdQfHlQ07NRmaiu24fP3xw3zr6SkaNBk6AQW/ahE66sfmeL7jkedBybKRErqbI6w/rrLSmQozPVfjwEyRL947xKffciFdp2BjK6XkXx89xAsTBSqmgyYE5bpDS8x3bzpaILTFQ5TqDtGQxuaOBCXTJlM2qdt+6aUlFqI9EeK6gTbecdnahoLeAJ4YyTFdrKEKFsRNayxEumRSdpyFIW9VCAxNwXQ8smWLZFjjULZK1NDoa4tx4ZoTKzq3be+mKxXmx7um2DNVpFh38DxJWFfpbYlyaW8Lb7qkh7+/b5jJQr3h5/bZN28jYpw7m/TmmHFGbXQDXl4CgREQEBDwCkBKiblvH5WHH6Hy2KPUnngSr3r6knKt0VGs0VEK3/kuWk83TW97O83v+lW05ubTdo9XArqmoAiB6zUWMma6HgcLkntmp1Z9TxWPJh2Mo0ShJ3171JCmYM87ICXCBl2pE9tXFCHoboowlqsyma9x954ZfvXqvlWt5VC2whfvO8hde2bIli0URWA5JqoQ5CoWEV2ltzW6kPAN0BY3mCzUCekKn3nzJTw+kiNbNkEIOhIhruxvaVhYHOHx0Ry5ikXrUZUTQ1PobYkymq1StRxs18XQfDeruuORKdep2y7xsMaWzgQfuGlgySrUJeuauWRdM2PZCgfSZUzHJWpoXLgmRWs8xIMHMnzz8bGG1/v6C7u4eWvnSX3GgMWRUvpC0nQwVIXOZDgYOF8FgcAICAgIOE+RlkXl0Ucp3X035Xvvw5mefknu60xOkfnCF8h99at0/sEfkHrbW8+6odOzlf6uFImIzmSuQlsysuxzy9YcXqiqrD42D2KKh47EtCVSgqYIHM9PUTZUgZRgOy6GptLVFF2ysiKEoCMRZiRT5pGhDG+/bN1J52WMZMr8+U/2MjRTYq7qV0wiuooQfjWlZrmYtovtemxojxOfz6KIhbQFF6J4SDstG+1izcZyPML6sRvL5qiBIgSHc1Vqtotpe3hS4np+KndPU5jB7iS/c+NAQ7MEva0xeltjx967bvPJ7zTeGpUIa/zJL21r+PiAxanbLg8NZbhnX5pD8yYGqhC0xn3Hsp1bO09o1QtYmkBgBAQEBJxHSNum/NBDlO74KaW778YrFl+2tXjFIlOf+hTTX/sG1QtfhSsUtHCYpsFNdF57FdGus8tK82xg2/o2OlviTOYqlGoWyejiG5pDJYenMxYeq3uz2pUMc/naBHOlGiOZMnNVm5rlIPErEqoi8CQYuoLqSdoSYbqalm97ihgqqhDkKxZThRp9ywypH4/tevztXUMcmC4hFH/TXKg7qIpACFAVgaEK6rZHxXQYzVTY2pNcGJAWiBOsYk8FXVUQQizachYzVJqiOmbR8+22pD8EL4B4SOfVm9rpWeFZLcdnf7j7pFqjPvX6rXQmVw5cDFiaXMXicz/fx+6pIpmSiem46KqfrzKSgZFMhbv3pvngjgEuXNv0ci/3nCAQGAEBAQHnOFJK6i/spvD971P80Y9wc40Hcr0UyL270YcOMNfdjx1LMPf/s3feYXJWZf//nGd63d6ySTbZ9EAKSUjoVYqgqEjxlaoCSrG8FixYXvwhdrG8SlFAisCrKGJDKdIEgRRIQnrfbG/T61PO74/ZxCRsmdnsZmeT87muXJPMnHLPzJPdcz93+W7aSttLr1K9bDGNF70PzdG/0NiRiN2mcfqCSXSGEjR15ZzDgMe5N5JhScmaHp3tMROGeaQ+c3Y1P7xkAX6XnTW7Q7ywvo23dvXSEU0Tyxh4HDZKfU7KfC5SWZOm3hTVg0RTklmD7niWRMYgnNLJdsV58s0WLl06Oe9ajJU7e2nqTZIxLWZU+snoceKZXFtYR5+AnhACt0MjmTVJGyahRJbKQK4Gw+O0UR3sXxF7OEwq9+J32YmkdPz7pGNlDYtt3XHiaYOMYaEJsNk1pJFzNnZ0x7nvlR1s6Yhz/WnTsA8gxjcQ/1jXzuMrm/Mef3xjBWfOqebxlbtZ1RQinjZw2jWmVvo5bVYVc+uGVjgfLUxLsr41Qlc8g5S5WpajJgQL/kxGm2TW4EfPbGLlrhDRlE5t0EXQk2tisOf1jmiG9W1RfvrcFr747jlMry7OTl3FhHIwFAqFYpxiRqNE/vIXwr/9HZmNG8fanEGxGzo17TuILD6RlG4Q3bYTI5nCSKaYdfWHEbbxU5w62pw6bxIdoQQvrN5NS0+crkiKEp8LQ8LaiCRmDu/AaNMEXzhnFted3Li3NmDRlAoWTalA9qX5JDIGvYlcoX+F38Wjr+/iDyt2kzXfeSvftCQ7exJEUjpZ08Iwc7UahiX529o2VjWFOHVmNVecMAXHEIfKFzd30ZPIUOnPpSCV+5xE0wZZw8Sh2ff6UqKvqFo3rL4aCSfd8QwVfienzBg5AcBTZ1bxzPp2NnfEqAm4sNs0LCnZ0Z0gmtIxTInXYUPTBCndxOO0UV/qwe+y09ST5EWrk4DbztUnTs17z65Yhi/9fk3e4z0OG6fMqOQLj6+mJ54llMyimzm18jXNEV7Z2sWs2iCfPGMG5YewmDprWPxjXTsvbOqkJZwklTX32juhzMupM6t499F1RVPX8OyGDta1RIildKZX+96hpeJ12plSYaMlnGJ7d5xH39jF196jUtKGQjkYCoVCMc5Ivb2O0COPEP3rX4fd9Wks0HSd4NoVaCedgVFWQrypma4Vb1Eyczp1Jx8/1uYVDUIILjllNtWlPp5f3URHKEFLLMumhECXw3MuqgMu/vfDi1g6tf8WskII7DZBiddJifc/h9FjJpfz/IYO2sIpKvz/iaSYlmRrV5xISidtWDg1gUMTgCDosSOlZFN7lETGIJ4xuPGMGfvpPRxISyhFImNQX5aLeJT5nDk9CMMkY5g5bYu+6XZNkLIkKd2kLZLGtCQ1QTcnTB85cbaGCh/z6kvpSWTZ3p2gsdJHNJ17L7op8TtzvXwzhoklJV67jUq/C5ddw2ETbO9O8MLmTs6fP2FIhXHIRSGveWA5oTwF9QBOnVnJC5s72dmTJOi2U1/qwW3PpfWEUzrbuxKEElniaZ1bzp9LqXf0nYy0bvKT5zb3deFKI6XcGwHqjmfZHUqxqyfButYIn3nXzIKL70caw7R4YVMXXfEME0o9Awo1CiGYUOJhfXuUzR0xdnTHmVpACuCRSHG4jwqFQqEYFGkYRP/2N3Ze+iF2XnQRkT/8YVw5F3uwJeJ4Vq/E5nLhqa0h1dlN+yuvIeUw+6sepgghOH3BZL5+2QlMnVbPhoQ2bOfi+MYK/vqpkwd0LgZjUUMZE0o9SHJ56ntoj6aJpHQyhoXfacPlyHWbctlt1JZ4mFTho7HKT0soxStbu3huQ8eg+xhWrsh8T1qKTRM0VHjxOu0YliSRNdBNCyll3x9IZAxiaZ3GKj/Xnty4XyrTSHDdKY3Mm1BC0ONgY3uMnT0J0rqZ06ywJPGMgWlJvE47DRU+XH135L1OO0G3g554lhc3d+a11zf/vJ7VzZG8bTtqQpBIKsvOniQN5V4m96V02W0aLoeNmqCbWbV+ElmD9W1RHvr3rmF9BoUgpeSel7bx7209tIRTTChxM6smwMQyLxPLvMyq8VNf6qE1nOL17T3c9cK2Mf9/v60rTls41ecIDR5F1TRBmddJbyLL8p3DF7I8UigqB0MIMVEIcZ8QolUIkRFC7BRC/FgIkVefQyHEaUIImcefSQfMG2zsa6PzbhUKhWJozFiMnnvvY+tZZ9Py2c+RWp1/d5lixdnegr2rHUfAj2XoJJrbiG7bOdZmFR1Zw+JrT67jrn/top8Mpby44bRpPHzNsrzuoveH3abxwSWTmVLpoyOapi2cIqOb9CSyZAwLr8OGJSGRMbHbBH63g3Jfbi+P0059mYe2SJrnN3YMepgs9Thw2rW96TQAQY+DxiofQbejT+9DEs+YxDMmEonHaWf+pDI+/a6ZLB4Bcb932OR18pXz5nDm7BqmV/vRTYusaWFaFpYl8ThtlHqdTKvyUerZv46ozOsknNR5u2Vop+GtphAP/Htn3nbZhGBmjZ/OWIaagIuAu3/Hyq5pTKnw0RXLsLKpl67Y6N6Q2N6d4I0dvbRFUkyr9BFwO/ar/xBCEHDbmVblpz2aYeWuEJs7YqNq01BE0zlNE7fDlletisdhI2tYRFMH07vtyKBoUqSEENOAV4Fq4ElgI7AU+DRwrhDiRCllzxDL7ARuHeC1ecCFwDop5e5+Xt8F/Lqf5/OvtlIoFIoRQu/sJPTQQ4QefQwrHj90G9vtOBsacDVOxV5Xh72qCntZGcLlQtjtWJkMZiiM0dlJev160mvXDktPw7N+DcYpNTh8Psx0mkxPD0zPP1/9cKczluaGh1exYtfw7pQG3HZ+dMlCzpp78C1bT5xRRTxj8OhrO+mIpFnXGiGRtTClxZ5zlsuu4XfnHIJ9tR+CHget4VxazMb2GHPq+ld8X9ZYwfrWSK7V7D4H5qDHwdwJQUJJnd5ElqxhksyaOG0a71kwgS+dN2dUFaBLvE4+e/Ys1rdG+PRjb9IaSVPpd2LXBGU+J0G3o99Se6dNYEqLtG728+p/SOsmn3h4VUECiVUBJ+taIsTTBpPKBm+F67BplHgc9MazvLK1i/cfMzH/jQrk+Y2d9MQzlHudg7Yodtk1Kn1OuhMZ/rmxk1m1/V8ThwK7lus+ZuX5BVhSIoTY23hAMTBF42AAvyDnXHxKSvmzPU8KIX4E/DfwLeATgy0gpdwJ/E9/rwkhHu376z0DTN8ppex3rkKhUBwq9JYWun/5SyJ/eAKZzQ494SBxNjTgXboU9/x5eObPx9XYiCigq5M0DOL/+hfh/zJV3xcAACAASURBVPst8eefz3ueLR7D0dIEtlx7TTlcCerDkDXNYa57cCXt0fxble7L7NoAd12+mCmVvqEH58k5R9cxpdLHs+va+euaVnb1JNCw4XZouB02KnxOKgIubAfksAuRi2oksyad0fSADsYpM6v401stdMQyhJPZ/eoFNC2nRVDhdxJN6TT3pphZG+Djp04bVediX6ZU+qgv8xBO6TRW+vamcu1BkqtLkeQOrbqV01AYyr4v/X5NQd9zmdeBbpp0JyyCbvugdS178LvsxDK5TkijydstEUJJnWlVQ1935T4nmztjrGsduzbakOsW5nPZaepNYpjWkB2uIimdcp+LyXlonBzpFIWDIYRoBM4mF4H4+QEvfwO4DrhCCPE5KWViGOtXAB8AUsBDB2etQqFQjDzZ3bvpvvtuIn98Egxj1PbRAgH8J5+M75ST8R13HI7a2oNaT9jtBE47jcBppxF96ilab/kaMpnfj2nXru0YtVNxlZXgKis5KDsOF558q4WbH19DxshPyftAPnBMPbd/YB4e58gfvGfVBplVG8TndvDgqzsQQHXQjcc5eHrJnlesQVKkynxOPrh4IunXdrG9K0EyY1Lh/8+d8Kxh0RPPEEroTKn0ccHCCdQdhNZEoeQ6CfnY2ZMknNT3dmXKGBY9iSy9iQx6Xx7bnkN/mdfJ7EHuzv9+5W7++FZr3jbYNMHcugDr2qJIaUGe9QuiT6tjsM9/JEhmczUp+XSHctgEpiVz2it9UYGxoNLvYuGkUlrDKboTWWoH0RNJZg3SukV10MWyxopDaOX4pCgcDOCMvsenpZT7/VSVUsaEEK+Qc0COA54bxvpXAy7gQSnlQPHmUiHER4FaIAKslFKq+guFQjGq6C0tdN91N+Ennhg1x8JWXk7gnLMJnnMO3sWLC4pQFELw3e9Gm1BP02WXIfJ4L/ZwL7aqejy1NZTMmDYqNo0XTEvy/X9s4q4Xtw1rvl0TfPX8OVx1wpRRP6xNKvdS6nUQTup4hyisljJXoF3m/U9txkC8e14dpiX53YrddMezbO2Mo4mc0J5pSsp8TqbX+Dl//gQuXDR6qT4DccbsGt5ujdAWTlPicRBO6ezuTZI1LbKGlTvvC0BKLJnrUJQc4AC9uzfJLX98u6D9/S4bDlsupUcIQbJPRfzAaMqBJDIGLodGxSi3qnX3te01TInTPrhNhpWz25Vn7cNoctbcWlY1hdjSEcdp0/pt6ZvSTXb2JKkv83DKjKox7341HiiWT2hW3+PmAV7fQs7BmMnwHIxr+h7vHmTMAuDefZ8QQqwGrpBSrs1nEyHEygFemp3PfIVCceSgd3bSfeedhB//PegjXzCoeb0EzjmHkgvei3fp0kOmM+FfMB/bee/F+tMTeY0PSpOa45Yc0ToYsbTOZx57i+c25tdx6EAq/S5+cdnALWhHmmOnlFPhc9EaSpE1rEHvWCcyJkioK/Vw1ITBc+2FELx3YT1HTyzh+Q2dvL6jh2QmV8PgdthYMrWcM2dXM70mMKLvJ1+WNZYz4+0A0VSuM1PWMEnpFjZN4HHY0EQuSpDM5greDVPyzPoOynxOPrBP7UPWsLjpkVWk9fyjVHtS/tsiaXwuOx6HDd2S+0VT+sO0JKGkzuzawIi28e2PWbVBNrbH6E0OHgmAXEeyEo+DWWP0Xe7L0fUlXLxkEv+3fDc7uuM5XRWfE6fd1tfyN0s8nWuhvHRqORctnjT0ooqicTD2xMYHarew5/mC9dmFEKeSO+Cvk1K+OsCwHwG/J+fgpPvGfxG4CPinEGKhlLKl0L0VCoXiQMxIhJ5776P3oYeQqdSIr+9Zspiyiy8mcPbZaJ5Dl0KyL1O+fDNbX34RLTS0orjPLqg79cRDYFVx0tST5JoHl7O5Y3iF/AsnlXLX5YupLRn8QDeSBD0OljZW0B5J09STYGqVv99aAN20aA4lqQ26OWVmdd4KzlMr/Uw92c9lxzUQSelIoMTjOGT1FgPhstv473fN5Pa/reefGzuJZwzsmkATAqNPYBBy3bNyERsnO7oTPPFmC8umVjChL6Xr9r9tKKglrU2A16GhmxadsQwNFT5Oml7J8p297OpJ4nXa+v1sLClp6k1S5nVyVH0JE4coCD9YTp9VzStbu9jeFafC5xxQXNEwLXriWaZU+jh9dvWo2pQvFyyoJ+Cy88SbLbRFUoQSOnpKRxOCoDuXHnfSjCouW9ZQNAKBxU6xOBhDsecn13ASCK/rexwweiGl/NwBT60ALhZCPA58EPg8uULzQZFSLu7v+b7IxqK8rFUoFIclViZD6OHf0H333VjRkS1s1IJBSi+8kNJLLsHVOPadmFxlpVRedSW9P/7xkGPdRgab89CpDBcTr2/v4RMPryxIXG1fLl0yiW++/6icCN0h5uIlk9jUHuXt5ghbOmJUBVyUep3YtNxhO5TM0h3LUOF3MX9SKe+eV1fwHi6HjeoxdioOpDro5rRZ1azYGUI3LRw2LdcBSoDboeU6JPldVAddaEIQzxj0xDM8v6mTy5Y18Le1bfz61Z0F7Rlw2ZFIMrqFTZNUB1x89KRGHDYN3exia9+BvsLnwmnPKY6Hkzpd8Qwuu8aMGj9XHj9lND6O/ZhTF2BefQnRlM62rgQN5d531AKldZNdPUnK/U7mTghy9ITiqb06fXYNJ06vYvnOXt5sCpHIGjhtGtOq/Zwyo+qQCBUeThSLg7HHlR/oSgseMC4vhBDl5ByE4RZ339U3/5RhzFUoFAqkZRH961/pvOMOjNa2EV3bNWMGZVdeQcl73jNm0YqBKDn9tLwcDL2paUyLPMeK3y7fzS1/XLu3MLgQ7JrgG++dy+XHNYzZ51bqdXLzuXP4ybOb2doZozuWoSWUQhPsjTg0VPiYN7GUm86YMebRh5FkTXMEm00wqyYIyNx3KMBt1wh6HPvVRFT6XOzoSfDvbT0sm1rOzY+vKWgvr0PDIqdaLmUuHe6akxsp9zm5/rTp2G0ar27rpieeYVNHDClBIvG7HNQG3TRU+Pj0mTOoKxn9nw9CCG48YwbJrMmalgjbuxN97YvtCCCe+U+R9Lz6Uj51xoz9WhoXA067xonTKzlxlNPJjgSKxcHY1Pc4c4DXZ/Q9DlSjMRBXkSvufkBKGR6GXV19jyPX60+hUBwxJFeupOM73yW9Nq8yrrzxnXQS5Vdfje/EE4r2YO6aNg3s9iEL12U2ixWNYispnjuZo4lpSb73943c/dL2Yc2v8Dn5xWWLiqKLTXXQzTcuOJqVu3p5YVMnWzpiWFJi1zTmTghy+uwaFkwsLbpD5MESSmbJ6BbBcvuAaUB78DhtGKYkkspy/cOriGfyb+SgCTAsC4mGJgRel43/WjqZpVNz373TrnHDadM4e24N/9zYyaqmEFnDRAhBQ4WP02dVs3Rq+SF17oJuB18+bw6/X9XMK1u76Ypl9jpH5T4XVQEXJ06v5MJFE0dceV1RXBTLt7unefrZQght305SQogAcCK5KEShXZ2u7XscSPtiKI7rexzebwKFQnFEore00PH9HxD7+99HblGbjeB551Fxzcdwz5o19PgxRtjt2CsrMdrbhxxrdHcfEQ5GImPw6cfe4tkNHcOaP7cuyD1XLh71XPpCcNo1jp9WyfHTKjFMi4yRU0XOR59hvLKns1U+XV+llEhpsbk9TkcBSto2TVDpdyD6MsQzhsnSqRXvSHUSQjCjJsCMmgBSSjJGLm1rLD9/r9POFcdN4aJFk1ixK6cgLiVUBpwcO6VcdWA6QiiKb1lKuU0I8TS5TlE3Aj/b5+VbyUUQ7t5XA0MIMbtv7sb+1hRCnAzMAd4epLgbIcQiYNOB+hpCiPnkxP0AHi74TSkUiiMOK5Wi55e/oufee5GZkRG1Eg4HJR+8kIprrsE58dC35jwYbMFgXg6GHIUuWsVGWyTFNQ+sGLaw2Pnz6/jBRQtGRd9ipLDbtLwLuccztSVuvE4b0bROpX/w1rvxjIFuQXci/58HAjhmUglBt51ISqc5nGJmTYDz5tUNGo0QeQj7HUo8Thsnz6gaazMUY0RROBh93AC8CvxUCHEmsAFYBpxOLjXqlgPGb+h7HMhN31PcPVT04lPAhUKIfwK7gQy5LlLnAjbgl8CjA09XKBRHOlJKYk8/Q8d3voPRNjJ1FsLppPSSS6i49hocNTUjsuYhJ9/Ws9bwROXGC2+3RPjYA8uHraT8ubNmctMZ04s2He5I45QZVSzf0UtLOEW5zzmgDoWUkqZQikiqMH2bmqCLRMagNZzCpgmmVvp515waLlgwYSTMVygOCUXjYPRFMZYA3yR3uD8PaAN+CtwqpRy632EfQogyci1m8ynu/iO5IvL55AT/3EAP8BTwSynlnwp8KwqF4ggis307Hbd9i8SrAwZKC0I4HJRefBEV11130CrbY03eURxb0fwqGnGeXd/Bpx57k2TWLHiux2HjjksXcu7R4/s6ONxY3FDGpHIvXfEMzaEUE8s873AypJQ0h1J0FuhUlnhyLW5tmmByhY/J5V7OmlvDu+bUKAdTMa4oqp/qUsrdwEfyHDvg/7Q+te68WiZIKf9IzslQKBSKvLFSKbrvvIue++8fGaE8TaPkA++n6sYbcUw4PO5Umnm247UF/KNsydjw61d28M2/rMcaRoP1+lIP91y5mKOKqI2nIofdpnH9adP57t83sLUzzuaOGBU+FwG3HSFy4oLdsTQdsWxB3/3kci+fPWsmpiVx2AUN5T7m1ZccdkXyiiODonIwFAqFYjwQ++fzdHzrW+gtI6O/GTjrLKo+/Slc06ePyHrFgMxmMXt68hqrBQdXeB5vmJbktr+u5/5Xdg5r/qLJpdx9xRKqAoPn9x+u6KbFlo448YyOw6bRUOEbVK16LJhe7edL757DnS9sZXdvkp54NldnIXOF70ndIltAC2K3Q+OeKxczu/bw+r+gOHJRDoZCoVDkid7RQcdttxF75tkRWc+zeDE1X/g8noULR2S9YkJvb8+rzY7m92PzHz4RjFTW5NOPvcnT64fXKer9CyfwnQ/OL6pi3UNFLK3z9LoOXtrSSUc0jW5KNAF+l51Fk8s55+haZtYExtrMvUyr8vOdC+ezujnMS5u76IxlsCzJ7lCKV7fl51zv4fYPzFPOheKwQjkYCoVCMQTSNAk9+hhdd9yBlUgMPWEInA0NVH/h8/jPPPOwzavObN2W17jDJR0MoDue4WMPrGD17uHILh3Zxdwd0TQ/fHoTm9qjdMUzCARuh4ZpSZp6krSEU6zY1csVx03hXXOLp+mB3aaxuKGcxQ3lALy0uYur73+joDWuOr6BCxeNrw5xCsVQKAdDoVAoBiGzZQutX/0q6dWFKfD2h1ZSQtWNN1D2oQ8hnMWV8jHSZDb120H8HTinTBldQw4RO7oTXHXfGzT1Jgue67Jr/PCSBbxn/uHjbBVCPGPwo6c38dbuEKmsyeQyL16nba+jpZsWXbEMmztiPPDvHQTcdo6qL2H17jCRVBabpjGxzMPcuuCYOmfbu+Lc9MiqguouljSUccv5c0fPKIVijFAOhkKhUPSDlc3Sc9fddP/ylwdfxK1plH3oUio/+UnsZWUjY2CRk3prdV7jXDNmjLIlo8/KXSGueWA5oWTh10ml38kvr1zCMZOPjOuiP/65sYNNHTFSWZNpVf53iMQ5bBoTSj04bBrbOuPc/rf11ATd9CSyZA0LAfjddhoqfJw1t4bTZ1UfckcjktS55oEVRNP5t6StDrj4xeWLcNoPf+0QxZGHcjAUCoXiAFJr1tB2yy1ktmw96LW8y5ZR85Wv4J41cwQsGx9IyyL11lt5jXWN88/lH+va+dSjb5IxCtfymFnj576rjy0qZe5DjWFavLCpi+54hgkl7kEVqP0uG1s6s4RTOrtDSYJuBx6HDUtCV3eC5lCKHd1xtnXG+dhJjQfdfSmS0nl5SxcrdvYSTRs4+lrHnjarar9oiW5a3PToKrZ3558+6bRp3Hn5YqoD7oOyUaEoVpSDoVAoFH1Y6TRdP/sZvff/+qDF3+w1NVTf/AWC5513xOXUpzdswIxE8hrrWTB+C9wfem0X33jy7WG1oT15RiU/v2wRQbdj5A0bR+zqTdIeSWFZEr9r4COJaUl2dCexJFimRU3ARWPVf5oDSOkmnNLZ0Z3gmfUdlHqdXLxk0rBsklLylzVtPPlWC13xDKG+SImmgX93mFe2djGzJsBNZ8ygwufk1j+v4+Ut3QXt8f/efxSLG47cqJXi8Ec5GAqFQgEk33yTti9/hezOnQe3kN1OxUeupvITn0Dz+UbEtvFG4pX8RAftE+pw1FSPsjUjj5SSHz69mf99fngRrg8dO4n/9/6jcdhUakwyY6CbEqddG9QR70lkSWQNpAS7TbxjrBCCMq8Th01jV0+Cp9e38+55dYM6LQPx+1XN/H5lMzu6E3idNmqCLtx2G5aURFI6O7oS9CSyRFM606sDPPxaU0HrX3l8A5ceO7lguxSK8YRyMBQKxRGNlcnQ9dOfjkjUwrtkCbXf+PphUVdwMMSffz6vcb5lx42yJSOPYVp8+Q9r+d3K5mHN/8I5s7jhtGlHXFRrIJx2DZvIRSgGQkpJTzxD1rRw2HKf24HK2Xvwu+x4HDa6Yxn+taWLc4+uK8ie9a1R/vhmCzu6E9QEXeimpCOawbQkmhAE3HamVvloCaV4Y2eIJ95sLWj94xsr+Np7irOoW0rJls44z2/sZFNHjIxh4nHYmD+xlNNmVjG54si8YaIYHsrBUCgURyypt9fR+qUvks2zpepA2MrKqP7izZS8731H/MHR6O7Ou/7Cd8Lxo2zNyJLKmtz0yCqe29hZ8FynTeP7F8/nfQvrR8Gy8cukci9Br4MdPUkyuomrH/2PrGmR1k2kBaawcNrteF0D64SU+5z0JnXWtUYLdjCe29BBRzQNQHMoRda00E0LJCAgnNLoiGp4nTZaQmkKyY6bXO7lF5ctKsrIVSytc+cL21jdHKYnniGS0jEtid0mWN8a5Zn17ZwwrZKPnjQVl/3I02hRFI5yMBQKxRGH1HW6776H7rvuAiP/ri/9UfL+91P9xZuPmO5QQxF75pm8BPYQAt8JJ4y+QSNEOJnlo79ezqqmwjUugm4791y5hOMaK0bBsvGN12nn+MZKdvem6IhlmFTmQQiBZUlCKZ1YSidtWCR1E1NKNHJtfcu9uTbPpiXR+xSzHXaBTQgctpx+Rlo3C7IlktJZuauX1nAKmyZIGxZ2TeC22xAid1lnTYuortOb0AtyLvwuO7+6agllRaZIDpDMGvzgH5tY1RSiK5ah3OegsdKH3SbQDUlvMsvm9hiJjEkya/LpM2dgL0InSVFcKAdDoThMkJZFZutWzN4Q2DQctbU4Jw2vyPFwJrN9B60330z67bcPah1Hw2Tqbv0mvuOWjZBlhwfRp/6e1zjPggXYK8bHgbstkuLKe99gS2e84Ln1pR5+/ZFjmVFECtTFxllza/jX1i42tcdoDaew2zQ6YxkyRi56YElJ1rCwJNg1sGm5Q3FPIrv3TjuATcvVYTjtGjZNFKyG3hVL0xpOYVgSw5L4nDZs+0YkBWhCI6NbBTkXQsDP/uuYolIh35ffr2pmdXOY3kSGmTX+/SIsdifUOz1U+Jxs60rw2vZujpoQLDgypDjyUA6GQjHOkdkssX8+T/zll8g2tyAzmdwvQo8X14zpBE4/He+yZUd86o6UktCjj9L5ve8j0+nhL2SzUfHRj1B5441obtVicl/01laSb+SnYuw/84xRtmZk2NoZ58p7X6c1Uvg1M7cuyP0fOZaaoLpOBmNimZdPnDqdXzy/lbUtYSIpHSlBEzmnwZJyb1DMkhBO6YRbImiAIWHPcdgCUrqJZUmqAm5m1xZ2oNfN3N16w7Lwuxz7OxfkfobEMiZmgV3Dvnr+XE6fXZzNDFJZk1e2dtMeSdNY6RswfcvtsDGxzEN7JM3zGzs5e27tQbcBVhzeKAdDoRjHmPEEXT//OanVb2F0diFNE83jASnRW1rJtraS3riRwMaNlF95JUI7MsPaRlcXrbfcQuKllw9qHdfs2dR96zY8Rx01QpYdXkT+9Ke8xwbPPXcULRk+Vt/dcE0TrN4d5ur73xiWgN5J0yu58/JFBI7wNrT5cuyUcs6bX8fGtigCsNs09pxfnXYbbrska1oYhkVGt/qe1/C7bGjkBloylxaVMSxiaZ1ktrAUqc5oGt3MOTO2A87OUkriWXNvOla+fHjZZD564pSC5hxKlu/spSuWweXQ8DgHj/gE3XZaw5Km3iQb2qMcNaHkEFmpGI8oB0OhGKdIy6L77rtJLl+O0d2No74eze/fG6mQloUZDpPdsZOY+Ryaz0fZxRePsdWHntg/n6ftllswQ6HhL+JwUHXD9VRccw3CoQ6M/SEti/Djv89rrHvu3KJK34smMry2oYUVm9oIxVIAJLDz3O4kmUJvVwPvXziB7120QCk0F8jWjhgep40pHh82ITAsiRACr9NGwG1nU3uM7nhmT701UkpE3z+klJiWxJTgddowLcnf1rZx5pwayvOse0jpJk6bhl0TGKbEaRf7vGaRMQq7Fk6aXsmtFxxV1NHjzliaZNYkkEc7XyEEfpedpG7SGcugbrMoBkM5GArFOCW1di2p1asxurpwTZuGcO7/S1RoGvbycoTLRbZpF7FnniXwrncdMcXIVjpN5/e+R+iRRw9qHfdRR1H37dtxzxzfitOjTeLVf6M359e6NXjBe0fZmvx5Y0Mrj7+0gZ5oinAsRUY3iUo7u3EjKfxg+PFTGvniubNV+kiBNIeSrG+LksgYzKkL9qvoHXDZ6U1kkVIiAcOSJHQTuxDolkQI8DhsVPidICU9iQwvbe7k/cdMzMsG05L43TYSGY2MaWHTRK7YW7dI6oW1sJ5R7efnRdoxal/y6cewH3u+loInKo40ivvKVygUAxJ/8UWMnh7slZXvcC72xebzofn8GL29xF8+uBSh8UJ602Z2XnzxwTkXDgdVn/k0Ux57VDkXeRB65JH8BmoaJeefP7rG5Mnyja385rm32dLcSyKVpabch7u8lCY8w3Iuvnr+HL583hzlXAyDpt4kiYyB323v17kAiGdNNCFwO7S9KUxS5u6sexw2yrxOJpd7aSj3Uhlw05vI8vqO3rxtKPU6c0XiDg233UZSN4lnDOIFplpV+p3cd/WxlHiKP9pZ6XfidmgkMkN305NSksiYeOwaFX7XIbBOMZ5REQyFYhwis1nS6zdgRSM46obu5mErL8dobye9Zi1ccMEhsHBkkFKit7ZihsOg5TpjDRaB2VvI/Z3vIrPZYe/rmj2bCd/9Du5Zs4a9xpFEtrmF+Asv5DXWf+qp2KuqRtegPIinsjz+4gaaOiKUBdxUBD1sjhisDhV2mARw2AQ/uHiB0rg4CAxTYsmBBfQkOZFDicTrdGDTTAxTUuZzUuFz4nHk0qj2pCN5HDayhkUklX/9zDGTS6kKuGgOpfC4bfQmckXdheB2aPzqqmOZVO4taN5YcezUCir9TbSGU2QMc1CNi3jfZzGhzMvcuuChMlExTlEOhkIxDrHSaaRhgNAQ9jxyZ51OpGFgJhKHwLqDR+o68VdfJfbiS2R27sw5C0KgeTx4FywgcMbpeObM2W+OGQ7T9rWvEXvm2eFvrGlUXHctVTfcMGhUSLE/oYceylsFvbRI6oDe2NBKTyyF02GjPOBmXdhgfbhw58LrtHHX5Ys5ZebYO03jmaDHjtOm0TOIdsW+voeU4LBrlPuc/XbpsmQuZcpeQDRpjyZHazhNVyxNqsC0KID3zK8ruHvVWOJ32TmusYL2SJpdPUkaq3zY+2kGkjUsdoeSTCj1cOrMKqWDoRgS5WAoFOMQ4XSCpiEtC2lZQ3eHMgyEpqG5iv/QbCWTdN51F8lVb2J0dWGl03s7Y1mpFHprK4lVKym94H2UXvBehBAkV71Jy+c/h9HaNux9HQ2Tqf/ud/EsXDiC7+bwx4zFCD/+eF5j7bW1+E85eZQtyo8Vm1oJx9JUlnhYEzLZHC3cuSjzOrj/I0tZOKl0FCw8sphTF6Q66GJ3KEkya+B17n88EeRapSYyBlnDRDct/A47pQOkIUVTOj6nnfoyT0F2fOCYelbsDLGhLYZhFVZnEHDb2NoZ53t/38jN584uWIdjrLh4ySS2dMRYvTvM5o44VX4XZT4Hdk1DNy16E1m641mqgy6OmVTGuUfXjrXJinGAcjAUinGI5nbjnDSJ7M6dWNEottLBDzhmOIwWDOJsnHaILBwe0rLouuceEq+9jt7VlRMLDAb3OlDSMDB6eshs2074j0+gud3oTbvo+vFPwCz8gLiH0g9dSs3NN6N5x0daQzERevQxrDwjY2Uf+lBeEbdDQW8sTTprsimpsSNe+LUzocTNgx9bxvRq/yhYd+Thsts4aXoVTb1JWsIpGiv976jFqPA5iaZy7Wdddo2g29HvId6Sku54tu9ue2H6ExJY3xYt2LmYXOZhUrmHHd0JVjaFeODVnXz81OL+ebuHoNvBzefO4SfPbmZTR5TuWJa2SBqJRBOCUq+Txiofx0wu44bTpg+aRqVQ7KE4ftIrFIqC8Z96Cun16zE6O9H2OYQfiMxmMcPhnOjeqaccYisLI7V6Nck330Lv7MQ1bRragZ2x7HYcNTUIl4v09u20f/ObWD09w97PVl5O3bduI3D66Qdr+hGJlU7T+9CDeY0VTielF180yhblj0TSLF2E44WnwTRW+XjoY8uoLy3s7rhicM6bX8eqphBv7Q6ztStOXdC9t65CSonLoe1V7QaoHSA1qqk3idOuMbnCy+KG/LvmJbMGH/31crZ3F5ZKWh1wMb3ahxCCxiofWzrivLa9m4sWT9xbDN2byPKvrV20hdNYUlLuc3J8YwWTK3wF7TValPucfO09c1ndHOaFTV1sbI/2terVmFdfwumzq5lbFyzqlruK4kI5A1+jNAAAIABJREFUGArFOMW3bBnRp57CjEbI7tqFc9Kkd9wdttJpsrt2Ya+uwjN/Ps6GhjGyNj9iL76E3t2No6rqHc7FvgiA7h6sg4ha+E49hQnf+hb2ysphr3GkE37895hd3XmNDb73PdgrKkbZovzIGhbLe0zCFN7lZ159Cb/+yLGqi84oEHQ7+NzZs7jjmU1s6ojRHk2zO5TTozBMCQImlHmIpHQcmsau3iQVPif+Pg2HWMagJ57F77Izo8bPTafPyLtNbNawuP7hVaxqChdkc6nHwVF1gb0Hb5c9V2zek8jy0pYuzpxTw8Ov7WL5jh56Etmc+J8El0PjL2tamVsX5PLjphRFUbjdprG4oZzFDeVIKTEsiV0TyqlQDAvlYCgU4xTN5aLqxpvovOMOMlu3kNm8GS0QyKX5SIkZiyFTKey1NXjmzafiY9eMtcmDYiWTpDZswIrFcNb3341HSomxezf69u3D7sMunE6qb76Zsss+rH5xHgRWNkvPr36V9/jyK68aRWvyJ62bXP/wSrZHClfnnl3t45Frlyl17lGkJujm6+89ipc2d/H8xk5awikMS6IJqPS7OGVmFY2VPn63spmdPQl64hlaI2kgd+PB77ZT4XNy7NRy8v3vbVqSz/72LV7c3FWQrX6XjfkTg+9oS1zqddKTyLKxLcobO3pZ2xKmK5Yh4LITcDsQApJZk80dMdojaZp6k3z+nNlMqyqedDshBI4D5cwVigJQDoZCMY5xTqyn5os3E/7t70iuXo0ZCiHTaRACe2kp9hnT8S5dRtlFHyz6+gIzkUAaBsJmQ9jemeMrdZ3sxo2Y3fndMe8P14zpTPjBD3HPUroWB0v4d7/DaG/Pa6z/1FOL4jNPZg2ue3Al/9pa+DVU77Xxm2uPU87FIcDrtHPu0XWcc1QtrZE0qayB06ZRV+rZG5E4ZnIZ61qjvLyli7d2h9nRnSCtm1hSEk5meeLNZl7Y1Mns2iAXLprInAHaqkop+fqTb/OXNYU1iHDZNRZMLOk3QqIJsCyLN3b0kjVzrXJnVgf2U3Yv8+ZSvHaHkmxsj/HT5zZz+wfm48tDUVuhGA+oK1mhGOc4qqupuulGjK4uEsuXY4ZCOc2Imlq8S5di8xdHju9QCIcDoYlcZywp94suWLEYmXXrkKnUsNcvvfRSar78JTT3O/O2FYVhpdP03H1P3uMrrh376Fk8k8uvf6MA4bU9TPRq/OzDC6kIqGvnUCKEGLDORQjBUROCrGkOE0vrpLJGTonblet+lDEsNnfEaA2n2NoZ5+OnTuO4xv1T9KSUfOfvG/nN600F2WXXBMdMKhmwS1TGsABBbzJLWreYXePvt62rTRNMLveyrSvB7t4kr2zt5uyjVIcmxeGBcjAUisMEe1UVJeedN9ZmDBtbSQn2qirEjp1Y8Ti2QK6XvNHWRnbz5rx1Fg5ECwSou+02guecPZLmHtGEfvMIRmdnXmO9S5bgXbJklC0anGha5+r73ig4vx5getDODy9dyIJpNaNgmeJgeH5TJ39Z08q2rjgTSjyUeR373ZiYUOKmPZpmc0eMe17aRk3QxdTK/6Qh/eKFbdz94vaC9tQELJxUMmCkQUpJTzyLpgmEhAqfY1DNCE0IqgMuOmMZXtjcyVlza1TqpuKwQCmlKBSKokAIQeCkk7FXlGN0d2OZJtlNm8hu3Dhs58KzYAFTn3hCORcjiBmL0XNPAdGL6z8xitYMTSSlc8W9w3Muzp9TyZ8+e7pyLooQ05L8dU0bTb1J6ks9lPuc7ziYa5pgQqkHv8tGSyjF39/+T0rf/a/s4Pv/2FTQnoJcUbfXOXCb1u54FkQuOqFbFqWeobWHgm47Kd2kNZwiNYjQoEIxnlAOhkKhKBr8J52IY0I9lq6Tfv11jNbWYa9V/rGP0vDwQzgn9l8wrhgePb/8FWYkktdYz6JF+E44YZQtGphwMsvlv3qd1bsLdy4+864Z/O+VS/G6i1+c8kjkrd0hWkJJpJQDiu3toSboJpzMsmJnL+Fklt+u2M2tf15f0H5CwKmzKplQ6mZrZ5xwUsfap9FE1rBoCafoimeYWumjodyLlDCUBmpubYFNgCVBN4Z3M0WhKDZUipRCoSgabMEggRNPIPHss6AX3uUHcqlWdd/9DoHTThtZ4xTo7e30PvBA3uOrPvXJMUv3CCezXPar11nXGi147lfOm811p4wPkbQjlS0dcSIpnTLvOyMXB+KwaXicNiIpnQde3clPnttS8H7fvOAo3ndMPT9+ZjNrmsN0xjK0hFO4HRqWlGR0izKfk5k1Aa46YQovb+lme3eCjGENKUxnmBaWzNV2eJzqWKY4PFBXskKhKAqklIQefJCO731/2KrcnoULqb/jRzjq6kbYOgVA1x0/RmYyeY31Ll2Kd9myUbaof0KJnHOxvq1w5+Kb7zuKK4+fMvJGKUaUtG5iSnBp+Tmwdk2jJ5HlJ89toUCRbj531kyu6Lsmvvju2by8uZvnN3WyqydB1rDQBPjdDpZOLeddc2porPKTyJisagrRG88SHKLzWE8iS4nHwYKJpft1mlIoxjPKwVAoFGOOlU7T9vWvE/3Tn4e9RvlVV1H9+c8hHKqN6GiQensdkSefzHt89Wf/e0yiF8N1LoSA71w4j0uPnTxKlilGEq/Ljl0TZM38UoqiKZ2ueJZC1XM+dtJUbjpj+t5/u+w23jW3hjPnVNMcShFN6zhsGnUl7v1aGJ8yo5I/vtlMRyRNNKUTHCCNK2OYdMezNFb5OGN29Ttel1LydkuEl7Z00xpOYUlJqdfB8Y2VLJ1aPmAnK4VirFEOhkKhGFP01laab/ok6fWF5UTvQfP7qbv9WwTPVoXco4WUko7bb897vP/MM/EsXAjk9AB2bGtl4/odxOMpNCEoKw9y9Pxp1NRVjKgTEk5mufzewp0LTcAPLl7AhYsmjpgtitFlXn0JpV4H27sS1ATdaINcR+2RNJ3xbMF7XLpkEl89f06/16gQYlD17RKvk/cumEAia7KjO0G1YVHhc2Lri7hYUhJJ6bRG0tSWuDl2SjlH15fst0ZzKMmdL2xje3ecnniGRMZEInHZbSzf0Utt0M0Vx09h2QHtdxWKYkA5GAqFYsxIrlhB86c+jdlbuDYBgGvmTCb+9Cc4p0wZWcMU+xH9y19JrVqV32CbjerPfRaAXTvbeO7vb9DdFSIWTZDVTQTgcjtZvWozEydXc875J1BaFjhoGyNJncvvLbzmwqYJfnzpQt67YMJB26A4dMyuDTC10k9rOEVXLENNsH+Nkt5EhvVtsYLXP39+HbdfOO+gHOD3LawnmTX565o2OqJp1kejeJ02BJDSTdwOG5PLvBw7tZzrT5u+314t4RTf/tsGNnfEiGcMKnxOKstde1XAO2Np2qNpIs9vwbAkJ06vHLadCsVooBwMhUIxJoQe+z/ab7sNDGNY80vedwG1//M/aJ7+hbgUI4MZT9D5/e/nPb70ootwNTayfWszf/rDi3S09WAYFsGgj0DQgZSQSqZpbekiEokTCSe4+LKzKDsIJyOS0rnivtd5u6Uw58KuCX72X8fw7nmqZme8IYTgwkUTaepNsLUzjiUlVX7XfpoTnbE0b7fECk6LOmN2NXdcsnBvtOFgbPyvpZOZOyHIcxs6Wd0cJpU1oS8KMa3Kz2mzqzl5euV+dkspufOFrWzuiGFaktm1gf0iNG6HjTKvg65Yhm1dce7913Zm1PipVkKQiiJCORgKheKQInWd9ttvJ/zoY8NbwOGg9itfpvRDH1KCVIeA7jt/kbeonubzUfXJm4jHUzz151doa+nG7XFRWxfc77vyeFyUlgXoaO+luamdvz35Mh++6t3D+j5jaZ2r7nuDNc35tc7dg8Mm+PmHFynl5HHM4oYyPnLiVB54dSet4RQb2mME3HZsmiCa0umIFl5zcXxjBb+4bNGIFVsLIVg4qYyFk8rojKXpiKSxJJR5HUwq9/Z7za9rjbK9K048Y7zDudh33eqgm5Ru0hXL8MKmLi5ZMmlEbFYoRgLlYCgUikOGEQrR8pn/Jvn668Oab6+upv4nP8Z7zDEjbJmiPzJbttD7wIN5j6/4+MexV1ay7tW1hHqj2Gw2ysuD/R6iNE2jprac5t2dtLV009zUwaSGwg77iYzBR+5fzlsF6lw4bRp3Xr6IM+coAb3xzhmza6gr8fDU2jbeag4TT+tE0wadscKdi8UNZfzqqiWjVjhdHXDnFWV4cXMX3fEMFT7noLUlAFUBF7t6kvxrSxcfXDTxoKMuCsVIoRwMhUJxSMhs28bu629Ab2oa1nzPksVM/PGPsVeqXONDgZSStltvzTuFzTFpEuVXXZnrerN6G9FIgorK0kGjEpqmEQh6iUYTrF29tSAHI5U1+dgDy1mxK5T3HMg5F3ddsYgzZivn4nBhTl2QOXVBOqNpnnq7jW8/tbHgVrTz6ku4/yPH4nON/bGoLZIimTWpLHMNOdbjsGFKSTilE0vrlHqVMKSiOCiqhstCiIlCiPuEEK1CiIwQYqcQ4sdCiLIC1nhBCCEH+dPv7QMhxFwhxG+FEJ1CiLQQYpMQ4lYhhErwVigOkvjLL7Pz0g8N27kou/xyGu6/XzkXh5DIE38ktWJl3uNrvngzmstFOp0lGk1gGCbuPFSwfV4P6VSGnq78oxBp3eS6h1bw2vbCmgPsiVwo5+LwpDmc4vv/2ExaL0wNe3ZtgIc+tnRIvYpDhSUlUuZaJw+FEAKBACkLdqoUitFk7F31PoQQ04BXgWrgSWAjsBT4NHCuEOJEKWVPAUveOsDz77gdJ4RYBvwTcACPA7uBM4CvA2cKIc6UUuanLqVQKPaj9+Hf5FqcWoX90gcQTie1t95K6QfePwqWKQbCCIXo/N738h7vO/FE/GeeCYBpWkgpcwefPE5IQhNIKTHz1DPQTYubHlnFy1u687YPcjUXKi3q8GXlrl6uum858UxhTSNmVPv5zTXLiurOf5nXicuukcya/aZrZQyLZNbsc0QklswVjfuLIPqiUOyhmK7GX5BzLj4lpfzZnieFED8C/hv4FvCJfBeTUv5PPuOEEDbgfsALvE9K+ae+5zXgt8AH+/b/Tr57KxQKkIZBx+23E3rk0WHNt9fUMPFnP8Uzf/4IW6YYio5vfxsznGdEweGg5pZb9joTbrcThyP3q8UwTOz2wfPZMxkdu92Ozz90sNi0JJ/5v7d4dkN+Red7sGuCOy9brJyLw5QVO3u56r43SGTNguY1Vvn4zbXLqPAPnYp0KDm+sYI3dvTQHklT5nXs/b8Vzxh0xjJEUzqGlXMudFNi0wRCE0RSOlWB4noviiOXokiREkI0AmcDO4GfH/DyN4AEcIUQwjcK258KzAFe2uNcAEgpLeDmvn9+Qqh2NQpF3pixGLs//olhOxeehQuZ+vjvlHMxBsRffrkgRfWKj3wEV+PUvf+2221MnzkJn99DLJoYcn4smiAQ9DJzdsOg4yxL8sXfr+Gva9rytg1yzsX/fngR75qrnIvDkde393DlMJyLKRVeHr32uKJs7bp0agV1JR4k0BnLJU90xzNs6YzTGU0TSxvohoVuWGQNk6xhsb0zxjf/vI7tXfGxNV6h6KMoHAxy6UgAT/cd7PcipYwBr5CLMByX74JCiEuFEF8SQnxWCPFuIcRAbv2evf9+4AtSyu3AZqABaMx3b4XiSCbb3MKuD3+YxCuvDGt+yQcvZPKDD2CvqhphyxRDYcYTtH/jf/Ie76ivp/L6dwaW5y2cQbDERzSaIJMeWEE5V6thUFIaYPbcKQOOk1Jy65/X8fjK5rxtg5yI3k//6xjOPVq1oj0ceXVrN1ffv5xkgc7F5HIvj1x73IDifGON065x5fFTaKz0EUrqbGyPsbMnQTytIwR4XRqaAAsIuB1MLPNgWpJ1rRHueGYz3XGV0a0Ye4olRWpW3+PmAV7fQi7CMRN4Ls81D2yy3ymEuFFK+fgw9p7Z92fbYBsKIQaqiJw92DyF4nAhtXo1u2+4EbOnkHKpPjSNmi99kbIrrlD6FmNE149+hN7amvf4mq/e0q/QYf3EKuYvnIGhG7S391BS4icQ9GKz5dKl9KxOJJIgmUxTO6GSU89YhGuQgvAfPr2ZB/69q6D3ogn40SULOE+J6B2WvLS5i2sfXEHGKKy2a1K5h0evO44JpcXdv2XJlHI+cdp07v3Xdt5sChHPmAhANyRZQ+KwC7xOG9UBF/V972VHd4Id3XH+sa6dy5YNHhFUKEabYnEwSvoeB1JK2vN8aR5rPQn8AHgT6CEXfbgK+Bzwf0KI90gpnxqlvRWKI5boP56m9eabkZnC755pgQD1d9yB/6QTR8EyRT4k3niD0COP5D0+cM45BE4/vd/XhBCcec4ypJSsfWsrkXCc3U0d2O02pATLsggEvdRPqua0Mxdz9ILpA+5zz0vb+N/ntxb8fr530QLet7C+4HmK4ue5DR1c//Aqsnk2BtjDpHIPj1573N4DebFzwrRKkPD17rUkMyZepw0EaEJQ5nVS4XPu11a3rsTD9u4Er2zp5oOLJo6anodCkQ/F4mAMxZ7bmUM2YZNS3nHAU5uArwghWoGfAbcDT71j4sjsvbjfBXKRjUUF7KlQjBuklPT++oFc1yFZeJ9EZ0MDE++8c788fsWhxUokaPvKLXmP1/x+ar7ylUHH2GwaZ593PLPmTGHNW1vYvrUFQzdAgNvtYs5RU5i/cCZVNQN3IX/sjSZu/9vGvO3aw7c+cDQXLZ5Y8DxF8fPU2jY++eibGAX2ZJ1U7uGx644fN87FHpp6kzjsNqZW+qgOuJDkUv/6E+DzOG04bILuRIYtHTHmTVT3RRVjR7E4GHuiBCUDvB48YNxw+BVwB7BQCBHoq+04VHsrFIcl0jTpuP3bhH7zm2HN9x53HBN/fAe2UvWLcCzp/OEP0Zvzr2+ovvkLOGqqhxwnhGBK4wSmNE4glcqQiKdy4noBLw7n4L9+/ra2ja88sTZvm/bwtffMVekhhyl/fLOFz/1uNWaBzsXkci+PXjd+Ihf7ksgaGKaFz2XHbhu6bNZl1zBMWXDRu0Ix0hSLg7Gp73HmAK/P6HscqE5iSKSUaSFEDCgDfMAeB2PU91YoDkesVIqWz3+B+HP5lkXtT+kll1D7ta8iHMUhbnWkEn/llYK6fXmXLKH0oosK3sfjceHx5NdC8+UtXXz6sTcLFg77wjmz+NhJKhJ2OPLI603c8se1BQdJG/q6RRV7zcVAuOw2bJrIWyfGsCQ2LedoKBRjSbE4GM/3PZ4thND27SQlhAgAJwIp4LXhbiCEmEXOuYgB+yo0/RO4BTgX+PYBcxrJOR67gO3D3VuhONwwenvZff31pFevKXyyEFTffDPlV1+lirnHGDMape2Wr+Y9Xrjd1H3rNoQ2eoeX1bvDfPyhlehmYSfJG06bxo2nD1zLoRi//Orl7dz21w0Fz2uszOlc1JWMvnPRGU3zwqZONnfESRsmPqeN+RNLOXlm1UEphM+o9hN0O2gNp6gKuAb9mZntE+ALuh00Vo5GV3+FIn+KwsGQUm4TQjxNrlPUjeRqJfZwK7mIw91Syr1N1YUQs/vmbtznuUYgI6Vs2Xd9IUQlOTE9gMeklPtKfb4IbABOEUJccIDQ3nf7xtwl5TCSyxWKw5BsUxNN116Lvqup4LnC66X+Bz8gcEb/xcGKQ0v7/7sNo7097/FVn/oUzobRSz/a1hXn6vvfKLjt6FXHN/CFc2YNPVAxrpBS8tPntnLHs4UnEEyv9vPINcuoHuVWtGnd5IFXd/Lqtm56EhmiKQNLSv4/e/cdJ1dVPn78c+/0mZ2d7X03vZBNJQkBhAhBQpH2RQFFShCpoqCI/augP8GvFJFeBBEriAoiIlKlkwLpvW3v03b6Lef3xySQspud2cwmu8l5v1688mLnnnvPbJm5z5zzPI9VVfhgm5+/f9TCqVMr+NyRNYP6QGX2qEKqCly0BOOEEzo+V//BSmdvgkKPnbljivANo87k0uFpWAQYO1wLvAvcoyjKSaRv+ucBJ5LenrRnBuLOjzN2/YudD/xaUZT/ki4p6wfqgNNJ51gs5ZPmeQAIIQxFUS4jvZLxjKIozwCNwEnAHNI9OPZMHJekw1J81WqarroKw+/Peqy1rIzahx7EOWXKEMxMylb4xRcJP595Qz3XrFkUXXrJkM2nPZTgkscWE4hpWY0798hqfnxmvVwNO8QIIfjZC+v49dvbsh47qdzL778yb8i7Wqd0k7tf2cgHW3toDcbJd9moyHdiVRVShok/mqItFKc3odGb0Fl07Oisf0+tFpVTp1bQHk6wrTuCEC58Lttu5zGFoCOcIJI0mFzh5ZR62fdFOviGTYCxYxVjDvAT0tuVTgfagHuAW4QQmdzRLAN+D8wGZpJO0O4FVgFPk14F2avrkxDiA0VR5pJeLVkIeElvi/oJ8HMhhOxaIx32Im+9RfP1NyBisazHOiZPpvahB7FVyDe+4UBra6Mti4Z6isNB5a0/Q7EMTdnLUFzj0scX0xKMZzVu4ZRyfvG56aiqDC4OJYYp+P7fVvHU0qasx9ZX5fO7y+dR5Bn6T/Cf/aiZxdv8tIcTjC/L260srAsLPpeN3oTG9p4o/1nTzsRyL58aX5L1dU6pr6A9lODfa9ppDsRoDycpcNuwqgpJ3SQQ0/DYLUwoz+OK+eMYU5KXy6cpSYMybAIMACFEE3BZhsfu9Y4ihFgFLBrktdcC5w1mrCQd6oLPPkvbD/8XdH3gg/fgmX881Xf9Ekue3BM8HAjDoPU738UMhzMeU/bNb+AYMzTJ0wnN4IrfLmVDR+/AB+/iU+OLueeLszKqrCONHCnd5BtPLeeFVW1Zj51RW8CTlx2Fzz30hSMSmsF/N3bRFoozqsjdb88Jr9NGpc9FWyjBy2vbOXZccdarGIqicOmxo6kqcPHvNe20BGKEEzoJzcRqUZhQlsfEci+fm11DfVV/BTEl6cAaVgGGJEnDixAC/+OP03n7HYMaX3DBBelKUVb5UjNc9Pz6MWKLF2d8vPuooyi8+OIhmYthCr759HIWb89uy92MGh8PXzxHNhI7xMRSOlf9bhlvbeoe+OA9HDW6iMcWzcG7HwnV2Viy3U9HOIHNou7W7K4vhW4b7aEEmzsjbO+JDmqFQVEUFtZXsGByGSuag2zpjJA0TDx2K7PqCuSqhTTsyHd9SZL6JEyTzl/cjv+JJwY1vvTGb1L8la/IvfHDSHzlSrruvXfgA3dQPR4qb711SKpGCSH46T/X8q9VmSeZQzp594nLjiJvgJs6aWQJxlJ8+YklfNgYzHrs8RNKePji2bgH6K2SS63BONGkTr5z4GuqikKew0o0qdMaTOxXMGC1qMweVcTsUUWDPockHQjyFVqSpL0ITaP1Bz8g/I/Mk4A/ZrNRdeut+M48I/cTkwbN6O2l5Zs3ZrXNrfx/f4i9pnpI5vPoW1t54t3tWY2p8jl58stHUXgA9tdLB05HOJ3gn+02OYCTp5Rz34WzcFgP7GqWYQoE9NlRuy+KAmLHOEk6HMgAQ5Kk3ZjxOM033ED0v29mPVb1eqm59148R88bgplJgyWEoP3HN2fVrdt7yin4zj57SObz/IpWbv3X+oEP3EWB28aTlx81YhumSX3b2hXhkscX0xzILsEf4OyZVdxx3gxsByEPp8Btw2FViSYHLqkshCCeMijy2PdZZlaSDiUywJAk6WNGOEzT1dcQ//DDrMday8upffQRnBMnDsHMBs+IRun9aDl6IAAo2EpL8M6aieoY2hKWw0nwL38h/K9/ZXy8tbycyltuHpLtbYu3+bnx6RVZjXHaVB5fNJfxZd6cz0c6eFY1h1j0m8X0RPcq7jigC+fV8dOzp2I5SBXEjhpTzNNLm2gLhdENc5/FBmIpAxNBhc/JlKr8AzhLSTp4ZIAhSRIAelcXjV+5guSGDVmPtY8fR92jj2KrrByCmQ2OHu6l+/l/El68BK3Hj0gmAAXV5cJeVorv2GMo/uxph3ygkdiwkY6f3Zr5AEWh6ue3YSkoyPlctnRFuOLJpaQMM+MxFlXhgS8dyZF1hTmfj3TwvLWpi6t/t4xolk0VAa769Fi+e+rkg5rfVZLnYFZtIe2hBI2BOKOL3X1ul9INk6ZAnDKvk/kTyg7KaoskHQwywJAkiVRzC42Xf3lQ3blds2dT+8D9WHzDpzyi5g/Q/Kt7ia7fgNbdjepyYXGnt9ZoXV0kW9tItrcT27yFmuuu/fixQ40RidJyww2IZOatfIq/cjmeY47J+Vx6Ikku+80SQvHsGunddu40Fkwuz/l8pIPnHytaufHp5WhG9vkIN50yiWtPGDcsikd84ag6NndGWNsWYktXhDKvk3ynFUVRME1BMK7REU5Q4LYztdrHadNkHyDp8CEDDEk6zCW3bKHxy5ejd3RkPTbvMydRfccdqE7nEMxscISu0/Lgw0RWr8GMxnCNHbP7KkVZGUYsTrKpichHy2l74rfUXHv1wZvwEBFC0H7zzaS2Zd4J2Tl1KqVf+1rO55LQDK783TIa/dk1afzWwomcP6c25/ORDp7H3t7GT/+5NutxigI/PXsqFx09aghmNTjl+U5uOmUSd7+ykW09UTp7kzT5Y1hUBd0UeBxWqgvdTKnM54bPTDygVa4k6WCTv+2SdBiLr1lD01euwAgEsh5bcN55VPz4R8Oux0VkxUrimzZj9PbiGje2z+7TFrcL55jRxDdvJbJ8JYmGRpyj6g78ZIdQ8M9/JvzPf2Z8vOrxUH3XnSj23FZoEkJw0zMrWdaQ3e/Yl+bV8dUTx+d0LtLBY5qC215cx6NvZR7w7mRVFe66YCZnzagagpntn7piDz89Zxpvb+7mjQ2dtATjmKbAqiqML/Ny4uQy5o4uwm6VW6Okw8vwujOQJOmAiX34IU1XXoUZiWQ9tviaqyn9+teHxTaFPQXfegfN78dWXNxncLGTarfO1rhFAAAgAElEQVRjLSxA8/sJvvU2FaMuPICzHFrxVatov/W2rMZU3Hwz9rrcB1m/fGUTz69ozWrMSZPLuOWs+mH5+yVlL6Wb3PTMCp5bnt3vAYDLZuHBi47khEllQzCz3PA4rJxSX8HCKeWE4hpJ3cRlt5B/gJr+SdJwJAMMSToMRd99l6avXoeIZ18asvz736fokqHp7Ly/hGkS37wFPdyLo3rgTzuthQUkG5qIbdx0AGZ3YOiBAC3X3wBa5rkOvs9/bkj6ljy3vIV7Xs3uezu9xse9F87aZ1UeaeQIJzSu/t0y3t3Sk/VYn8vG44vmMnvUyEjwVxSFArfs0SJJIAMMSTrs9L72Oi3XX4/I4gYUAKuVqttuxXfmmUMzsRwQqRTCNFAU9rl6sZNqtSJMAzOReRL0cCYMg9abvo3WmvknxY4JE6j4wQ9yPpePGgPc9MzKrMbUFLp47NK5cq/6IaItFOey3yxhfXv2DfQqdzRVnFAuSxNL0kgkX8Ul6TASfvFFWm76dlbdnAEUh4PqX92N94QThmZiOaI4HCiW9Mua0PUB80PMlIZisR4yVaS67ruP6NtvZ3y84nZT/au7UV25ff6twThXPLmMlJ55OVqv08pvFs2l1Htolw0+XKxvD7Po8SW0hxNZjx1X6uHJy+dRLZsqStKIJQMMSTpMhJ57jtbvfR/MzG/6ANS8PGofehD3nDlDMi8hBHoggBmLoTocWIuKMlp96IuiKLiPmESisQktGMReUrLP4/VgAGuBD/cRkwd1vaES6QnQsGQlobZOTF3H4XFTOXUilVMmYOknaOp99VV6Hnwoq+tU3nIzjrFjczHlj8VSOlc8uZTuSOarQlZV4eGLZstPqw8Rb2/q5prfL6M3md0HGQCz6gp4/NK5FHrkViNJGslkgCFJh4HgM8/Q9r8/ApFd3XlLYSG1v34UV319zudkJpP0frCY8JtvkWxsTK84qBZsZaV4P3Us+ccdh9WXfdfbguOPo3fphyQaG7H6fKi2vhMtzUQCPRjGNWE8BfOP29+nkxOpWJzlf3+J1jUbiYd6SUXjIASqzUrDslV4S4uZevqJVE/fPSBKbt1G63e+m9W1Ci64IOfb3YQQ3PSXlaxpDWc17tZzp3Hs+H0Hg9LI8PSSJr7/91XoZvY9Lk6cVMr9XzpSbpGTpEOA/CuWpEOc/49/pOMnP816nLW8nLrfPJ7zT7gBNL+f9vseIL5pE1p3N2Y8gWKzgaGTaGggsXUrodffoPKaq3GOy+76nvopeOqPwIhGSWzbjqO6GtXt+rgikRACozdCsqUVe1UlvqOPwjEMOpCn4gneeewpOtZvJeoP4Mjz4C70oagKekqjt7OHSGcPsWCYWYkko4+aAYARidB83XVZVQNz1tdT/v3v5fw53PfaZl5Y1ZbVmGtOGCd7XRwChBD88uWN3PPa5kGNP39ODT/7n2my07UkHSJkgCFJhzD/k0/SkWW5UgBbXR11jz+OvaY653MyolHa7r2f6IoVGOFebGVlWEbnoygKQgjMaBStqwsjHKbt3vuo/va3sFdlXv9eUVWqrvwKIqURWbOGZEsLqCoWtxuEwIhGQVVx1FSTP3cO5RcNj/K0K579Dx0bthIPhSkaVYPF9snLs93twuXzEg+ECTS1seK5/1BQU4GvopTWb3+H1NatGV9H9fnSeReO3OY6vLy2gztf3pjVmFPrK7hp4aSczkM68JK6wbefWTmoMrQAX1swnm+ePFGWJZakQ4gMMKQRyYhESaxbixmJoNjtOMaOxTYMPoUeTnoee5zO22/Pepx9/DjqHnscW/nQ1J0PvvwK8XXrMSMRnHs0wlMUBUteHqrHQ6qpmcS27XQ/8zeqvn5dVtewer3UfuPr+P/zCsF330Nr78BMpnMCrIWFOGqqKTj+OApP/PSwaBQYC4RoXb2BaHeAotG7Bxc7KYqCu8iHrmlEe4Jse/8japo3EnnttcwvpChU3/4L7DU1OZw9bO6M8I2nlmc1Zmp1PnddMANVlTeVI1kgmuLK3y1lyfbsm3WqCvz0nKl8ad7w6c4tSVJuHPx3VknKgtbZSfjFF4ktXoweCCA0Pf3pdF4ezilTyD/lFFxTc58vMNL0/PrXdN5xZ9bjHFOOoO6xx7AWDk3deaFp9L77Hlp3N/aa6n6TuRVFwV5dRXzDRmKr15Dq6MBeXp7VtVSnk5KzzqDotFOIrV2HFgiAomAvLcU9eRKKOny2YjQsW0U82Is9z91ncLErd6GPQGMrwRf+hfOdl7O6Tsm115I3f/7+THUv4YTGlU8uJZJFQm+Z18GvL5HlaEe6LV0RLn9iCdt7YlmPddpU7vvikXxmSnZ/15IkjQzy1V0aMZJbt9J1730kt2/D6PGjuFyodjvCMNDb2tDa2kisXUvh+eeTf8rCgz3dg6b7kUfpuuuurMe5Zsyg9tFHsORnn1idqfjGTaQ6OkBRBiyNqlgsWPLz0YNBoss+xH76aYO6pmqzkTdj+qDGHijh9i5S8TjO/IGrKFntNvJSUcpWfpDVNfI+/WlKvnrtYKfYJ9MUfPOpFWztjmY8xmFVeeSSOVT4nDmdi3Rgvbulm6t/t4xwIvtKUcUeO48tmsvM2oIhmJkkScOBDDCkEUHv6aHrvvuJr1uHAtjHjdttD7kwDPSeHpJbthB46iksBQV45h118CZ8kAw2uHDPmUPNQw9hyfMMwaw+oYfDCE1DdTn73m+9s4TujtUF1elEaCn0cHZViUYaUzdACJQMtgtZEnEmbfoQ1TAyPr+tro6q23+R81Wb+1/fzCvrOrIa84vPT5c3liPc/lSKGlPi4YnL5jKqeGhfayRJOrhkgCGNCL0vv0Jq+3YQAtvo0XvdnCoWC7ayMhSLhVRTE6Hn/4F77pxhtQ1mqHU/OrjgwnPsMdTcf3/Om631Jb0lSoFdbkyEpqH5/ej+AGJHA0DFasVaUJAuq6sowyJPYig58jyoNht6MoXD4+73OMUwqHz3ZRypzJuXKW43tfffl/OVqTc2dHLXK9kldV9zwjjOnpn7wgHSgWGYgv/793oeeTPzogK7mju6kEcuniN7XEjSYeDwufuSRiwzmSTy3nvoPT3YKir2WWnEUlSE0DRSTU0k1qw5gLM8uHoee4yuOwcRXMw/npoHHzwgwQWAvboKi8eNEYkgTBPdHyC2fiOpllb0UAgjEsGIRNBDIVKtrSSbmhCallUVqZGoetqkdJWoYBjRX68SISj78G1cPZ1Znbvq57fhmDAhB7P8RJM/xg1PLc+qrcqCyWV8S1aMGrEiSZ0rn1w66ODijOmV/O7yeTK4kKTDhAwwpGEvuWULht+PYrMNvG9fUbAUFmIEgyTWrD1AMzy4en7zBJ2335H1uLwFC6i5776clyvdF0d1Na6JE7B4PKSamkg2N2NEIwjDQHW5sOTlYfF6UV0uTN1ApFLo4RBaMHTA5ngwlE0Yja+iFIvNSrQn0GeQUbhhJfnbN2V13pJrryF/YW7zkZK6wbV/+JBgTMt4zNgSD3d/YSYWWTFqRGryx/j8g+/y6vrsgtudrjlhHPd8YRZOW99FHSRJOvTIAEMa9kQ8nu7y3E9H5j0pdjtCNzDj8SGe2cHnf/JJOv/v/7Ie5z35M9Tc/UtU+4H/NNG3YAHW0hJSrW0YkQiq3Y7qcqW3T+2yOqUIE8XlwtQM/M//E63Hf8DneqAoqsq0M06ioLqCZCRGuL0LLZH8+HFP01ZKVi3J6px5CxZQcl125X0z8dN/rmVVS+YBX57DyiOXzCbfmdnfrzS8LNnu55z732F9e2/WY62qwi8+N53vnDpZliOWpMOMDDCkYU9xOMGifrw/f0C6jmKxoDgO7aX4wJ/+NKgmet6FC6m+6y6UHAUXWlcXsbVria1ZQ6qtfcDjPUfOwjlmTDpgNE2EriM0DWEYCF3HjMcRsRiKw4GtuBhrSTG630/47bdzMt/hqnzSWOZccCYlY2qx2u2EWjro3pbe6lf+wRtZncsxYQJVv8h9Uvdzy1v4/fuNWY2547wZjC8buDqWNPw8taSRCx99n55oKuuxXoeVJy47ivPnyi7tknQ4OrQzJ6VDgn30aKw+H1pjE2Yyuc8tPUIIjGAQW2VlzvedDyeBv/yF9lt+kvU476mnUn37LzJeDeqPEILY8hWE3vgv8bVrMRPppGPF4cA1YTz58+eTN++oPm9wFUVBWCzgdKLuDDI0bbeEbsXpxFpUhK2qCjOeINnSQviDxRSffdZ+zXu4q54+GV9VGds/WE7jR2swOjsZvepNLMLM+ByWggJqHnwg5xXBNndG+N7fVmU15qsnjuPUqRU5nYc09HTD5Gf/Wsdv3tk+qPG1RS4ev3QuE8plYClJhysZYEjDniXPg3vuXFLNLeidndhqavpN9DbD4XSlqcpK3LNmHeCZHhihf/yD9h/9OOtx3tNOpfr22/e7IpMwTbr/+CdCr72O1tmZ3ubkdKWLQ8UTpFpaia1dj3f5csouvxzVvncwYwSCKBYrzkmTMMNhjN5ehGGgqCqqx4OlsPDj7Vuq25XOxQiF08f005zvUJFXUsTUzy5gwjGzaLroIrRkFlv9rFaqf/WrnHfqTmgG1/3xQ2KpzEvjHj+hhG+eLJO6R5pANMV1f/qQdzb3DGr87FGFPHLxbIrzDlxulyRJw48MMKQRwfuZk4kuXkJy4wb01lasFRW73WgKITBDIbTWVuxjRuM9ZeEhWdo0/NJ/aP3e98mqfA87Vy72P7gA8P/9OYIvv0KyoRFbWSn26k86cgvTxAiGSDU2EtY0FJuNssu/vHdAqKqgpHMPrCUlWEtKBriqSKdnHCZlh4Wm0XHTTWhbs6vYU/Gj/x2S/i+3PL82qz34VT4nv/rCLJnUPcJsaO/liieX0ujPvjM3wDkzq/j556bLZG5JkmQOhjQy2GuqKbnyChwTJiBMk+SGDaSam9G7utDa20lu2IDe3Y19zBjyTz0V70knHewp51zvG2/QcuONkEWDNdiRc3H7L3ISXGjd3QT/8zLJhkYcdbXYSkp2C/QUVcVaVIhj9Gi01lZ633uf5NZte53HXlaG6nJh9EYGvKbRG0F1udLX2keJ4kOFEIL2n/yE6DvvZDWu8JKLKTz//JzP54WVbfxpceZ5FzaLwgMXzaZIliMdUV5c1cb/PPDOoIOLby2cyC8vmCmDC0mSALmCIY0g7pkzKf/Wtwg++xyJtWsxQiGEpqGoKvZRddhravAuXEje/PmH3I1o9P33afn69ZBpovsO3pM/Q/Wdd+x3zsVOvW+/g+73Y/HmYcnL6/c41eXEUlSI3uMn/OZbOMeN3e3x/GOPJrJyJVpnF5YCH0LTdnT51kEBi9OZbgynKOn+J0VF5H/q2Jw8h+Gu5+GHCf7lmazGeD49n/LvfCfnc2nyx/ju31ZmNeZHZ0yRnbpHENMU/PKVjdz72uZBjXfaVH55/kxOm1aZ45lJkjSSyQBDGlEc48ZRfuM3SbW0EF+5EjMaRbHbcYwZi7N+yiHZuTu+fDlN134VkcqukkveiSdSfeedOQsuAKLLV6AHAtirB258Zy0qIrF5M9HlyxHikt2Cvrw5s7FXVKB1dBJbvQZTCNB1hJlOZlYsFhS7HdVqRVFVbKWl5B9zdM6ex3AVeu45uu7+VVZjHBMnpn/OOc5N0Q2T6//8Eb2JzIPaM6ZXctHRo3I6D2nohOIaN/z5I17f0DWo8ZU+J49eMoep1b4cz0ySpJFOBhjSiGSvrsZeXX2wpzHkEuvX03jlVYhYdtsWPMcfT/Wv7s5ZKdqdjGgEoWsZNedT7XYwBWYymV5p2mUuqsNB0Rmn07t0GXpvb3rbl82GYrUASrqHSTSKYbFgLyuj9KIL97liciiIvvsurT/4YVZjLKUl1D704JB8b+55bTMfNgYzPn5MiYfbzp12yK0eHqo2dvRy5ZNL2d4zuC1Rs+oKePji2ZR5nTmemSRJh4JD7+NeSTpEJLdto/Hyr6QrY2XBfczR1Nx7z5A00VNsNhRFRWSQByJME4RA2VF6dldGNErPv18Guz29UpGXl1590g3QNRSrNd21XVHA5SK6dn3On8twkli3juavfT2rLXCK00ntAw9gqxp4NSlbS7f7ue+1zLuG260q9194JF7ZTG9E+OfKVs65/51BBxfnHlnNn644WgYXkiT1S65gSNIwpLW10Xj55Rg92ZWKdM2ZTe3996M6h+aN31E3ivjqNRihEGpZ2T6PNUIh1Lw8HKPq9tq6Fnr/AxKNjaCquI+clS5VGwhg7tgGpthsWAsLUZxOEtsbCL//ASWfPQ1bSfGQPK+DKdXcQuOVV2JGo5kPUhSq77wD17RpOZ9Pb0LjG08vx8yiUNmPzpjClKr8nM9Fyi3dMPnFSxt45M3sqpPtpCrw/dOP4PLjxsiVKkmS9kkGGJI0zOh+P41fvhy9tS2rcc7p06l96CFUt3uIZgb5848n8sEHJBsasBYX97vvX5gmencPtvIy8ucfv/tjQhB6K50sbistRbVYUAsLsRYW9nkui9eLFvATfOddSs8+M+fP6WDSAwGarrgCo6s7q3Hl3/3OkFVKu+X5tTT5M++9cdrUCr40r25I5iLlTldvkq//6SPe2zq4/hZep5X7LjyST08szfHMJEk6FMkAQ5KGESMSpemKK0lt27u06744Jk+m7tFHhjxPwXXEZJwTJqAHgiS3b8dRNwrFtvvLiDAMUk3NKHY79tpaPLNn7/a4HgySbGvHTKWweAeer7WgAK2ri/jmwVW5Ga7MWIymq67O+mddeMnFFF166ZDM6aU17TyzrDnj46sLXPz83Ony0+xhbllDgGv/sIyOcHJQ48eX5fHoJXMYU5Lb7vCSJB26ZIAhScOEmUrRfN11JNasyWqcfexY6h77NRbf0FdyURSF8quuwIhEiK/fQHzTRize/I8DBTMaQw8Fsfp8OMeNpeLaq/dKCBfJFJhmulJUBjemitWCMEzMZHZVtIYzoWk0X38DiZXZlYD1nnzykJSjBeiOJPn+31ZlfLyqwK++MBOfW+ZdDFdCCH777nb+3wvr0LPZ87aLk6eU88sLZpLnkLcLkiRlbli9YiiKUgP8BDgVKAbagGeBW4QQgQzGe4BzgM8CRwK1gAlsAP4E3CuE2OsuRVGUfb3yfiCEOPTrY0oHlTAMWm/6NrH3389qnK26mrrHH8NafGByE4RhkGxsSm9nEukkbt3vx+gNo7pcWNweXBMm4DpiMiVf/CL2yoq9zqG63SgWC2JHWdqBSgsLTUOxWrC4XEP1tA4oYZq0fv8HRN96K6txrlmzqLr9FzkvRwvpG9Ef/n01PdHMg7ivLZjAnNFFOZ+LlBuRpM53/rqSF1Zmt9VyV9efNIHrT5qAKjuyS5KUpWETYCiKMg54FygDngPWA0cB1wOnKoryKSHEQJtHjwd+D/iB10kHJ0XAmcAdwLmKopwkhEj0MbYBeKKPr2e+X0CSBkEIQftPf0rvSy9lNc5aWkrdE7/BVrH3TfxQSLW20f7wIyQaGtB7ejCjUUxToACoKqgWXFOnUH7FV3DU1PR7Hos3D+eYUSSam9FDYWyF+27KpvsDWH0+PPVTcvuEDgIhBO233kb4+eezGmcfPZqaB4Yuef/5lW38e017xsfPqivgawvGD8lcpP23saOXa36/jC1dWRQO2IXXYeWuC2Zy8pTyHM9MkqTDxbAJMIAHSAcXXxdC3Lvzi4qi3AV8A/gZcPUA52gHLgL+sutKhaIoXuAN4Fjgq8CdfYzdLoS4eT/mLx3ChBAkN24kuWULIpVCdbtxTZ+ek5v77gceIPjnp7IaY/H5qHv8Mey1tft9/UykOjpoueuXJDZuxIjFsBYVY6uoQFEUzEQS3e/HjEVJNjYRWbJ0nwGGoigUHH8c0bXrSbW1Yc339vupvBGJYMQTOMeOIf+YeUP19A4IIQRrf3AL6t+y/FmXllD760f7TYLfX129SX783OqMj3fbLfzy/JlYLbLK+XD012XN/PDZ1cS1gUtJ92V8WR4PXzybcaWHdt8ZSZKG1rAIMBRFGQssBLYD9+/x8I+BK4GLFUW5UQjR70cyQojlwPI+vt6rKMqdwB+AE+g7wJCkPkXee4/wv18i1dCA0RsG0wSLFUtBAa76egrOPhvH2DGDOnfgqafpvve+rMYobje1jz6CY8KEQV1zMLqe/B2JTZsxdR3n+PG7bWuy5Fmx5HnQw2GSDQ0EXvgX7vopuCZO7Pd83rlzcL/+X4xIlPjWbTiqq1Bdro9zMoRpogdDpDo6cNbVUvSZk7B6vUP+PIeKEIKPfnQrriyDC9Xjoe6RR7DvI2DbXzf/Yw2BmJbx8T86YwqjZbLvsJPQDH783BqeWto06HOcNrWC28+bIfMtJEnab8PlVWTBjn//I4Qwd31gR3DwDukA5Gjg1UFeY+c7aH+drAoURfkyUAGEgGVCiOw2xEuHFCEEwb/9ndDzz5NqaUGkUlgKCsBiQcTj6J0daG1tJDZupPTqq3DPmJHV+XtffZX2W27Jaoxis1F7/324pk/Patz+SDQ0EN+wET0cxjVpYr85E9b8fEQ8jtbdTei/b+4zwFBtNqqvvYrmex8gtn4DyaYWsKhYnE6EEBiRCKrTiXP0KApPPIHiMz87VE/vgNj0wK9x/uX32Q2y2ai5716cRxwxNJMC/r26nRdWZb5Hf8HkMi6Ye2BWzaTMbemK8NU/fMj69t5BjVcVuOmUyVz96bGyIpgkSTkxXAKMSTv+3djP45tIBxgTGXyA8eUd//67n8dnAI/t+gVFUVYAFwshMiqtoijKsn4empzRDKVhJfLWW4Sef57ktm1Yy8uxFBbu9uYrDAO9vZ3kpk10P/IoFd/7Hvaa6ozOHfvoI1q+eWN6NSRTqkrVnXfgOeaYbJ/Kful95z00fwBrQcGACdnWoiLimzcT/Wg5RiSyz7K5tsJC6r71Dfz/eYXQu++hdXalG+0pCvayMlxjx1Bw4qfJn3fUiL7pCb/2Gvp9d5PNMxAoVP/fz4f0Zx1OaPwoi61RBW4bPz932oj+WRyKnv2ohe//fRWx1OC2RBV77NzzxVl8anxJjmcmSdLhbLgEGDvra4b6eXzn1/edDdoPRVGuI12ZajnweB+H3AX8lXSAkyAdEHwH+DzwmqIoM4UQLYO5tjQyCcMg/K8XSTU1Ya2o6HP/u2KxYK2qQmtuJtXcTPjllym5bNGA505u20bzNdciktnVpK+45WbyFy7MakwuaF2dmPE4tpKBb0AUmw3VZsOMJ9B7/AP25bC43ZSecxbFnz2N2PoN6KEQisWKvbIC56i6nN/MCiEIbWugY8lHJHrShemcRYWUzZ5BwfjcdyeOvv8+LdffgCKyCCSBLbPmUzhlJkNZePjnL66nszfz38FbzqqnLH9oksyl7MVSOrf8Y+1+bYmaWVvAgxcdSaXv0KjQJknS8DFcAoyB7HzXz7qQt6Io5wJ3k04A/5wQYq/NxkKIG/f40lLgPEVRngE+B3yLdKL5PgkhZvf19R0rG0dmOXXpIIqvXEmqtQVhmultUf1QFAVreTmpzZuJLllM4ec/h2UfuQJ6VxdNV1yJEQxmNZ/Sb3yDwvPOy2pMzmV8760AApHFn6tqs5E3bepgZpWxSEsbG556lt6GJhLBEHoiCUJgdTpofW8J3tpqJl1wDt7azFahBhJfvpyma78KWub5DQCbx81kW/VERrd1UTm6Kidz2dOyBj9//KAx4+NPqS/nrBlDMxcpexvae7nujx+yqTMy6HNcfPQofnjGETisuS97LEmSNFwCjJ0rFP19YJe/x3EZURTlHODPQCdwohBia5bzeoh0gDE/y3HSCJfYuAkjFN5rW1RfVLsdxenEDIVJbt3aby6GGYvRdM21aM3ZVT4uvORiiq+8IqsxAzFiMVKNTZjJJIrdhhGNk2pswEwksbhduKdOxTEuvR/bWliI6nRgRqMDrkgIXcdMpVAcDqwFQ1P1aDB6m1pY+fBvCW9rRIvFcBT4cJeke4fo8Ti9jS3Eu3tI+ANMv3oR+XX7l1SdWLeOxiuvQsRiWY3rmDiDreOOBCEw9MFteRmIZpj84O+Zb43yuWz89JypcmvUMCCE4M9Lmrj5H2tI6tmtiu3ktlu47dxpnD0zN4G0JElSX4ZLgLFhx7/9ZYXuLJfTX47GXhRFOQ/4I+mViwVCiE2DmFfXjn9lyZTDjEjEwTBQ9uhC3R/FakUYBiLR95YTYRi03PgtEqszv7EDyD/9dMq/+92c3dyl2toJvfoqkQ8WowWDGMEgRiiMME1Uhz3dBM/hwOorwDl2DEVnnYn3mKMJ/ffNdC5Kaek+8zD0QABrfj6eaVOx+vL7Pe5AMjSNtb99itDW7YBCwbgxuz0Hm8eNs7iIaGs7oW0NrH3iz8z9ztexOOyDul5yyxYav3w5Zjic1bieUZPYPncBWocfp8eG0z0025F+++72rJKBf3TGFMq8cmvUwRaKaXzv7yv516rM+5XsaXxZHg9ddCTjy0ZuRTZJkkaG4RJgvL7j34WKoqi7VpLa0cPiU0AcyKiqk6IoFwJPAi0MbuVip50dvAc7XhqhFJcrXS0qw+0tO7tNq+699zILIei49TYir7/ex8j+uY85msqf3zZgYnWmYqtW0/7wI6Ra29B7etKrDfE4QtdAgGmzocTj2IqKSPZsJdXWSrKhkZJLvoRzzBi0jk5SLa3Ya6r7DHiMaAy9uxvH2LHkzx8+i37dq9YSaWvHTGnkjxnV59wVRcFTVUF4eyPRtg66Vq6hYu6srK+VamigcdFlGIFAVuOCVaPZ8qnTMExBMpaguKKY2gl1WV9/IO2hBL98OePPaZg/sZRzj5SfdB9sS7f7uf7Py2kJxgd9jnNmVvGz/5mGR5aglSTpABgWrzRCiC2KovyHdKWorwL37vLwLaRXEB7etQeGoiiTd4xdv+u5FEW5lHQidwPp4NA2nG4AACAASURBVKJhX9dWFOVIYMOe/TUURZlOurkfpLuDS4cR15R6rAUFJBsasJaV7XMFwUwkdpSwLcQxbtxejweefJLAH/6Q1fUdkydTc++9qPbBfYq+p8S2bbQ/9DCJTZtQ7A6sxcVoHe0gBBa3B6EoiFQKUhpGJIpj3FjMUIjE1i10/+4PlHzpi2idXSQ2bya5dSvW4mIs+fmgKIhkEt0fwAiFsNfW4vv0fNxT63My71xof38ZSX8QR9G+t7spioKzqJBEMEjb+0uzDjBSzS00LLoMvatr4IN3ES6rZtOnz8JUVQLtPbjzPYw+Ygye/Nw3OrvtxXVEM6w25LJZ+JncGnVQ6YbJfa9v5p5XN2FmnYGYZreq3HJWPV+YWyt/lsNIkz/GGxs7afLHSOkm+U4bc0YXcdSYIpw2mRcjjXzDIsDY4VrgXeAeRVFOAtYB84ATSW+N+sEex6/b8e/Hr5iKopxIOrhQSa+KXNbHC2pQCHH3Lv//deBcRVFeA5qAJOkqUqcCFuBR4E/7++SkkcVZPwVbbQ2p1lYMvx9rcXGfxwkh0Ds6sBYV4Zk3D9Xt3u3x3ldfpePn/5fVta1VldQ+/PCA+Q7Z8P/9OZKNjaguF9bKSpIbN2EmEqgOB4rNlk7LtloxYzHMWAyjuxt7dTXCMNHa24mvXkvV9V/bsQLSitbTQ6q5GVBQrBashYU4x4/Dt+BESs4/b1jdyETbO9HicTyVA3ddt3vziLZ1EG3rQAiR8fPQ2ttpXLQIvS3znhIA0cJSNp54DgldEOrsRghBRVUlM+f3WS9iN6HeOLFECqtFpSDfjW2AZN2l2/08t7w147l94+QJ1Ba5Bz5QGhLNgRg3/Hk5SxuyWw3b1ZgSD/ddOIv6qqGsRyZlI5zQePTNraxoCtATTdGb0BFCYLOovLulm4p8JxccVcfxE0oP9lQlab8MmwBjxyrGHOAnpG/uTwfagHuAW4QQ/gxOM4p0cAGf9L3YUwPpqlI7PUs6iXw66YZ/TqAHeBF4VAjxjyyfinQIUBSFgjPPQmttJbl1KxgGluJiFMsnN3EilUJrb0cYBva6ur1KyMbXrKHlWzeByKKaks9H3SOPYCsvy9lzSbW2EV+3DiPci2vyJIxIBDORSNdks37yEqAAqtOJGYuhB4LYKiqwlZYQ37iJ6MqVFF9wHnU/uZnexUvoffsdki0tYJqoHg95Rx5J/vHH4agduo7TgyUMA0yBomYQLCgKQoj0mAxpHZ00Xroo6+T9Xlc+79WfQLwtgCkEeb48isqL+cwFp1BY2neCvGGYrN7UxuLVDWxv6UE3TBRFwet2MOuIGuZNH01xwd4pY6YpuPn5NRnPrcrn4KJ5ud+iJWXm2Y9a+N9nV9Ob7K8v7MDOmlHFredOk125h5FwQuPnL65jZVOQrkiSApedynwnqgoJzaSzN0FrKE4wrhFPGSysH/hDEUkarobVK48Qogm4LMNj97pbEEI8ATyR5TWfJR1kSNJuPPOOQg8ECPzlabTWNvQNG1C9XhSLBZFKYcZiWAoLcIwfT+m11+wWFGgdHeleF/Es9kxbrVTfdSeO8eNz+jyiK1agB0NYfT4UiwUzFkPoOorVutcn9IqqgqoiNA0jEsHq82HxuDF6e0lu20benDn45h+Pb/7xCCFA11FstpzON9dseR5Umw09kcTWR47MroxEEovdhi0vL6PVC72ri8bLLiPVsM+dmHtJePJZe8LnsDvcOC0KeT4vE2ZOZMqcevIK+k7ATSQ1/vjCUtZt7SAQihFLpLBZLZhCIISgrSvEByu38/mFs5g2cfeSsn/9sJnVLZknnVdadB77zxquPHUaDrld44AJxTX+99nV/GNF5itNe3JYVW6WW6KGpd++s52VTUGCMY1J5V5slk/y69x2KPLY6Ykk2dIV4ffvb2dcWR7jSnO/VVKSDoRhFWBI0nDjO/UUbFWVhF96icT6DZi9vemKS2439jGj8cyeTf7pp2Ov+uSGLl2O9hr0zs6srmWprcH/9F9QnE48swfeIpMpMxpF6NonFbFMExCg9J08rqgqQpiInWVSLVYwTcxkavfjFAWGeXABUDpzKsHN20gGgwMGGIlgEIcvn9KZA/fk0Ht6aLjsMlJbs6sBEXd6WLnwC9SfMp/K2jJsdjvFFcVYbf2/HBuGyR9fWMry9S34Q1GKCzxUluaj7liVSSQ1AuEY21v8PPXih9jtFiaNLgfSDdluf2lDv+feU7VbJR5NsGxTB39227n0pClZPT9pcN7b0sONTy+nNZQY9DkmlOVx34VHMqlCVokabjrDCZY2+OnsTTK5YvfgYlfFeQ4Suklnb5JX13XIAEMasWSAIUkDcE+fjnv6dFLNzSS3bkUkk6geD84pU7Du0YRPmCat3/kuybXr+jlb3yxVVWAK4mvW0PngQ5RddRWeuXNyMn/FbgdF/WTbj8UCirIj0OiDEIDy8ZYikUqh+PKxuEfmfvzKebNpfPUtQlu2keqNYPf2/YatRaJovVHc40ZRefS+Azzd76dx0WWkNm/Jai4ph5t35n2W7mCK5HurOHPsqZTXlg84bsWGFtZuaccfilJXWbhXvoXTYaOiJJ+eYJSWziAv/HcNE+rKUFWFx9/elnHHbqsK00udYNrZ2h5mycYOTps9mrKCkfmzHwmSusEdL23g129vy2Y35V6+MLeWH59Zj8suV5yGozc3deGPpvC5bP0GFzuV5jnY2NHL4m1+Lpw3Sm5zk0Yk+VsrSRmy19Rgr9l3jkHXvffS+/LLWZ3XWlWFbWK6BYze1UVq2za6f/tbnJMmpis17SfHqFFYvF5Szc2I8jIsXi+K1ZbeKrVHIrMQAqHrqE4nqtuNmUwiksl0EvfE/trUDG/OokJGnfxptiVT9Da1oMcTOAp9WHasvpiaTiIYJBkMkVdbRe2C+bhLS/o9n+7303jpIpKbsmutozmcrDrlC9iLynB1B+nu8LP0reWc9aVTBxy7ZHUjgVCMkgJPv8nciqJQXOAh3OKnvSvMpsZOSkoKeOi/ma+wHFFox2FRwGIh320jEEnwzrpW/ueY3G7bk9LWtIb45lMr2NCReV+SPXkdVm49dxpnyk7rw1pLIE40qVPkGbgyoN2qYreqRJI6HeEEeXIVQxqBZIAhSTkS+ucL9Dz4UFZj1KIibBMmfHyTby0tTSdZd3UReecdfKedtt/zck+tx1FdRaq1BSMcxpKfj8XjRiST6dWJXZoJpvt5WLHk5aHY7aQaG7EUFZF31FwsnpH7KfaohSdiajqNr75JoidAaFsDqsUKSjrAsPu85I+qpfbE4xhz+mf6PY/e00PjosuyDi50m4NVJ3+BaFE6T8dXlE/L9jaat7Xi7wpQ1E9SN0BPMEpDq594UqOqbN/VgBRFocDrJBRJsHpjG2tX9xDJMFE4z6YwJv+Tt4QCj4P2QIxNrcGMxg8kHNd4a2MnHzUEiCR1bBaFMSV5nDC5nDGlnsMqX0A3TB5+cyt3v7IRzRj8ssWsugLu+cIsWe1rBDBMgSC9eJyJ9N+DwBhsfWJJOshkgCFJORBftZq2H+xZSXnfFI8HR339bo30FEVJ96hobyfy7ns5CTAUiwXfSQtItraS3N6AQ1GwlZdjxOLpsrRCgN0OhoFIpVA9biz5XpINjYDANaqOgoUnIwwDPRxG6DqWvDwsrn3nM2RLi0SIbN6KEU+gOuzkjR2DvSA35TUVRWHsGQspnjKJ1veW0L1yDfqOrusWh52SaVOoOmYuBePH9HuOdHCxiOSmzVldW7faWXXy+URKPqkIo6oq7jwXsUiMpq0t+wwwovEkum5gt1k/zrnYF4fdRjQeozkQ43erMi+bO7XYjrrL3Y/VomIKQUrLvKJWX4QQPL+8hX8ub6E7kiQQTaEZJqqq8OH2AG9s6KC+uoCrTxiPz52bvi/D2ZauCDc+vYLlTYMP3FQFrjtxPF8/aQLWAbbbSMODz23DblGJpwzynfvOXTOFIKkb2C0qPtfwz3OTpL7IAEOS9pPW2UnzddchkpntcwfAbscxbRqKde8/QTUvDzORQOvuQhjGbqVxByt/wYmkWtsIvvIqqeYmFIsFS74XoevplYxEIv3RmqpixOLEN21GtdlQfT6so0fjf/V1elesRA8E0vnhNit5U+vxHX8cnvop+/Xpc7ytnY5XXifw0Uq0UAhhmKCq2PK9FMyYRvlJn8ZTV7vf3wMA39hR+MaOQj/3DJLBEAB2nxfbAPklenc3DYsWZZ1zYVhtrD75PHrL9u6GbbVaMQyTZCLVx8hPWFQVZUf53Eykt73BO20JUno/eTZ7KHWplLt2/z3TDBOLquC0D/5tQgjBnz9o4J/LW9jeHcXtsFCW78RhUzFNQTCmsbkjQiCaIhTT+N5np+A9RG+oTFPw+DvbuP2lDSQz/Ln0pcrn5O4vzOKoMUU5nJ001OaNKebVdR1s645S5nXs8zUzGNNw261MKPdSnu88gLOUpNyRAYYk7QczlaLl69ejd3RkPkhRcNTXow60AiDIqofGvi+pUHLRhdhKSwi+8ipae8eO7VJeRNyGkUggNA1U9eNrmiiYiSSdf3o6PRmbLd2UT00njCdbWgkv/RDfvLlULLpkUF3Hw+s2sPWxJ4m1tKIFQqguJ6rNitANEq1tJNo6CK5czZhLvkjhrBk5+V4AWF1OrK7M3ri1zs50QneW1aIMi5XVJ32ecHnfwZFhGFitVmz2fd9QFxd48Ljs6IZJStOx76PaFEBvNAl2B8s6Mi+RXF9k3+uGJxhJ4nM7mFzT/+rKQFY2BfnXyla2dUepLXKTv0fw4LJbKfU62NoVYU1LkN+/t51rFkwY9PWGq+3dUb79zEoWb8+knVP/zpheyc/OmYbPfWgGYYey+qp8RhV7aA0maAslqPQ5+wwykrpBWzjBqCI3J07KXT8kSTrQZIAhSYMkhKD9Jz8hvnx5dgOdToxwL5Y9KlDtZMZiqA471oKCPlc4BktRFApOPYX8BQuILltGYvNmzGSSZHsHkeUrSXV2otpsWAsLsBSXYMbjxLdsxYzHQQhUj4K9qgpbSTFC19ECQRLbG9KJ4Kag6srLd9vuNZBYSytbHvstkU1bUew2PONG7xakmJpGsqubyOatbPvtH7F6vXjHj83Z9yMTWns7jZcuyrrPhWGxsuakzxOqHNXn40IIYpE45dWlVA5QRcrpsDFtYhXt3WEC4Tjlxf2XINV0g0gsSbfXS6Zb+2vyLBQ4dl+9iCV1IgmNqqI8jj1i8MnDr67roCOcoNTr2Cu42MlqURldksemjjBLt/fgj9ZR5HH0eexIY5qCJ97dzi9eWk9CG/yqhddh5Sfn1HPOzOrDKlflUKIoChcfPZqOcIJNHb009MQo9Tpw2y0oioJhCgKxFB3hJBU+J3NGF3H02OKDPW1JGjQZYEjSIAX++EdCz/w1qzHCYkEYJrrfj7WkGLWPrTlGTw+WomI8Rx+dq6nuRrXb8B5zNN5jjkbv7WXbD36EHgphr0wHD+mJChKtrYhUEtXhSHe4TqbQ2tqw+vJRbDbspSVYvXnEtzcQXryE/Hlz8c6amfE82v/zGvHmVlSHHWdV5V43TqrNhquqkkR7B/HmVtr//TLe667K5bdin1LNLTQuyr5Dt6FaWDznVLSq0f0e0xuKYLfbqKgpo7y6dMBzHj1jNMvWNNHQ6sdvjVGY79rr+6XpBs0dQTz5HhbHMrsJVYDJhZ8EdUIIwrEUbYEYZT43eXlOHn59IynNwGW3Ul9TwKcmlVOQQa5Ed2+CVU0BeuMa1YX7Xq2zW1XynDb8kRRvb+zirFnDryN8trZ2RfjOX1eyZHtgv85z1Ogi7jx/hkzkPgRMqcrnawsm8MAbm2kPJWgMxBDpHaFohsDrtDK6xMPc0UVce8J4mV8jjWgywJCkQYgtXUrHbT/PbpDdDoqCggKpFLrfj32PAEMPBDBiUZw11XiPPy6HM+5b+N330bt7UOyOT4ILQI/0YiYSYAoUlyPdNsMwMFMauj/wcddy1enEXlqC1t1N8M23Mg4wUsEgwRWr0IIhPOPH7vNTWUdpCb0bNxNev5F4eweuioH7RuyvVGMjDYsWobdmniQNgM3G6vlns93wkOcPk1/o3asMcCQUIRzopaKmjFnHTM/oE+nKUh9nL5jG319ZQUtniHAkQYHXhd1uQZiC3liS3miSIp+HTpcPPaplNF2fatLR3UvYYQUBkUQKi0XFZrMQSBpEuqL0NoYwhMCqKizZ2s0/P2piQX0l584djWUfSeftoQTxHYGJNYOVrXynjXBCo30/Gs0NB7ph8uu3t3HXyxszzoHpi82icOPCSVxx/Nh9fp+lkWVWXSG3nTudNzZ08tbGLvyxFKYAm6pQX+3jhEllHFlXKH/m0ognAwxpxEk1NxNfuRIzGkWx23GMHYezfkpW23P2h9bRQfMN3wA9s/KfAEpeHraxY0k1NWPGoohEAqPHj6hOJ/+KeBy9pwcjGsExegxF55+PtXjol8d73/8Aze/HXrb7Xl8jGMJMaSh228dlFRW7DTOZRA8GPw4wAKwFBaQ6uoit24AWDGLrZ+vXbtddvwktFMbicaPu2g3cNEn1RkgFQphaClBQ7TZUux0tFCa8Zt2QBxjJLVtoXHQZeldXVuMUu52a++/HdJfgf/Fdejr9tGyP4PG6sVgsGIZBtDeGzWaloqaMY06ay7gjRmd8/rnTRuGwW3nxrbV0BSKEehOEIwkUBdwuO2Nqihk3uoy7P8qsOpFFgfljfMTiSZKagYJCQZ6DUEInakAoaZBvMyn3ObFaVFK6SSCapCMUpzeuEY5pfPmECf0GSKYQCJF5WU52HJdpMvtwtK4tzHf/upIVzaH9Os+kci93XTCD+qrcVFGThpeSPAefn13LOTOrCcQ0NMPE67TiHaC6lCSNJDLAkEaMxMaNhJ57jsT6DRjBIELXUVQVNd+LvbYW78KF5B1//JDuUd6Z1G10d2c+yGbDMXUaqtOJoqgkm5owQyGMaJT4qlUoqopis2EpKsJZVUXR+eeRf9JJQ/YcdqUFAohEujP5rkxNB9NE2fXm32IBw0SktN0a9CkWSzr40FIYoXBGAYYej6cb+u2Sc6FHokRbWjGSKYSmpatJKaQDRyHQIlEiDU0MZXiRWL+exi9fjuHPLhlXcTioeeB+8j71KeoBT76bpW8tp725k1gkjmEYqKpKeVUppZUlzD5uBuOn9F8Stz/TJ1UzZVwFa7e0s3pzG9F4CptFpbwkn7lT63h+bRfhRGa/mxccVcctZ05hbZOfUDSJqiisaQ3xxvoOIsE448rzcdos6KYgpRtYVIWKAhe6IWjsifDf9e1MrMzn+MkVfZ6/0GPHYUuX5TSF2K0Ebl9iSR2HVc1o+9Vwk9AM7nttMw/9dwv6fvQtUBS4cv5YvnnyRBz9NFSUDh1Wi0qp99DIN5KkPckAQxoRYh9+SPfDj5BqasKMRLD4fCh2O8IwSDU0orW0kmpuRm9to+CC84csyOi47TbiK1ZkPkBRcNRPRXWmKxZZCgtxulwk1qxBzcvDMWkCCLD48sk75hjyjjsOW+nAe/Jz5ePv056fGivp/wSCvb6TfX1rdwQcmZbUtTgcYFExE+lVIL03QqSxGX1nQrnN9nHwIQwDM56+SW99/W1Kjv8Uvgm5T/aOr1hB4xVXYobDWY1THA5qH3wAz7HHfvy10RPqGDW+lo6WLpq3tZJKadjsVqrqKqiqq9iv30+r1cL0SdVMn7R76VvTFPz23SUZnUNV4Or547BZLcwYk/59S+kmf/+ohfZQgtpiD6YQNPZE+f/svXecXFd99/8+t8ydPjvbq7TSSloVW26Sm9wLNsSxDcahJyHkIUAICRAI5feQENqT35OEJ4EEAkkIP0LnoZjiBtjGuMi9qUtbtH13ep/bzu+PWa201q40K69sWb7vP7Sv1957zzl3ZjR7PvdbPtmSObdpVgSEDI2woTGRKfPrHRNc0t+24P10x4OsbokwmiqTLVvEjyEcnNmWtWvbIly4ZnEX9VORhweSfOxHzzIwU3xB46xsCvL3t57F1l6v/ayHh8fLH09geJzymCMjJL76Var796OEQhj9/fM2slpbG04mgzk4RPb229FaW4lcdeWyryN7221kvv2dJV3jW7vuqG5RbrGI1txM9Jqrafmz9wKcUIvX5UBvaUEJBHAKBbTY4XQMxe+vvca2A4c6WdkOqCrCN7+lqVs1a9GIUAitqb7NUWh1L3o4TGVyGte0KI6OY5fKCFVBNQyklLiuxHJcXBekoiGEwJ1Jsu+/vsU5n/gwqnHs16yYTDPyxHMUZlJI6eKPRug+eyMN3UcXlBe3P8Lou9+NWyrV+crVEIEAPV/6EqELLzj6mBC0d7fS3v3itJq8b98MQ8n61n/D5k5WNM2v/3lyKMlktoyqCIpVh4lMCdN2a6Z4s6+XKyUV00HXBI4LB6bzHJjKs6Y9etQcQgiu3NDG7oksI8kSQV3F0I8WoFJKRtMlogGN/o5aK8+XA9mSxedu38V3Hh15wWP9/kUr+cir1xN8AZ4jHh4eHqcS3reZxylP7q67scbGEYEAWsfRm0MhBFo8jhACa2SE3J13Er7s0mVt8VrZs4eJT/z1kq7ROjrROue3+JSOg51I4OvqInzZZS+ZsDhE9OILKe7YiZ1MoUajc6+tHo9jzSRwZutcEOBaJsKno8Xn+yJYySRaPE5065a63b0D7W1E16+jMjlFaXQMxzRB1CIbriupWDaOI3EB6UpAQQgVu1xl6slnOfjzu1j1uhsWHLuSK/DMT+5icuc+ytk8VqUCEjSfzsBvH6VxZTdn3nQtDV211J7Cffcx+r4/X5pRIiCCQVb825cJbt26pOtOFt/afrDuc9952dERoMlsmVLVRiAYz5QoVW10VSFkaHMCQ8qaAV/FchDA0EyBsXRpQYEBsG1NM48OJrFsl/3TBVoiBo0hH5qq1DpWlS1m8lVURbC2PcrbLu49kVt/UZFS8pOnxvn0z3eSKBzbJPF4dDUE+H9fv5ltL7OojYeHh8fx8ASGxymNk89TevwxnEwG35o1x0wtUWIx5PQ01vg45WeeIXjuucuzhkKBsff9ec3tuk6USBR97XzDMGnbmCMjqKEgxqpVBJfQ0vVkETn/fJI/+RlWMok1NYXeVkt3Ufx+1EgYaZo4pVItmiElis+HFj8ckbFSKexcnuCaPhouv3RJc7ddcwW53XtJP/0cruMgDAPHlZSrNo7rIgEhQcEFoSB8Gq7tYOYL7PnmD2jY2E98/fzXuJzN8+C/f5uZ/UOU0lmMcAh/JAxCYJUrpIbHKCRS5KcTXPj2W9F2PMPYh/9qSQX7UHNb7/nKVwiee86SrjtZTOcq/Hr3dF3nXrS6iTO6ji4edlyJIyWZkolpOxiaik+b3zhBiFpLWU0R5CoWxarN/qkcl29YuA5DUxXee/U6dEXw6GCKRKHKrokcihC4UhLQVZrCBj2NQf7smn56Gk/t6MVgosj//PFz/Hb/EmqwFuEtF6zgo6/ZQNjw/gx7eHicfnjfbB6nNNWBAZxsDuH3H/dpvxACraEBJ5ulunffsggMKSUTH/9/lma0pqpInw9rbAwlHAZqaVFuNovaGMe/di0tf/ruZY2wnChqMEDb23+f8X/9MpWhYZyBQfSmRtRQCKO9HSdfALNWdC0CfrSWFlzbxs0XsFNppGMTWNVL6xtuxd+zsGP1YkTX99P9+teS3bMfJ5sDqlSEO2cQp+DWWvoqKorfQDEMXNfFKhSppjPs+cZ3Oe9j70efLVCXUvL4d25jZt8gZrFM06oe1CNeY38kRLg5Tm4qQXJohJ1//Vmatt+7ZLd0JRZjxb9/lcCZZy7pupPJj54cw6mzuPjt23oX/H1DUMeyXUzbQQhxlLg4EkURKLPmYPsm88ecz6+rvO/afp4bqxWQPz2SwXFchBB0NgS4fH0rF69pIXQKb7QrlsOX7j3Al+478IJazwJ0xwP83S1e1MLDw+P05tT9RvfwgFraiuPUvxnXNKRp4laXp5d++pvfIn/nnfVfoKpEb74Ze3oGO53CLRQAUPwGen8/wc1nEn/TG1/UQu7jEd58Jp1/+m6mvv4NzKkp7FQac2ISADUUROga0nZQwiHsfB47l0PRfegtTegtrbTe8lpiF5+YKWDr5dvY/9/fxdq9F6nruKaDRKIgEIqKUBUUn4Hw1bpZKUIgAAmUp5NMP/oUXVdsAyA1PEbiwDDlbJ6mVT0oCxScC0Uh2t6Csf0Bmkb2LHm9amMjK/7zP/CvX39C93uy+NGTY3Wd19UQ4OoNC/fhOndVM44rsR1JwDh2y2fHdWveKFIyk69QqtoEjyEQhBCc2d3Amd0NmLZL2bTRNYWArp7yztT37Jnmb27bwXCd9S2LIQT8wUW9fOi6/lNaTHl4eHgsB963nMcpjRIIImZFQz1Iy0Ko6oIO2Uul/OyzTP3d3y3pmraPfpTGt74Fa3qG4sMPYc8kAInW1EzoogvR206+SdyJED7zDIKf+Vvyjz5G7qGHsRJJAPSmRiIXXIDe1kr+scepjo0hLRs1GiFy7jlEt26pOX2fIEIIgit6KE4nak/g3SKqAEXVEJpaS806sqDccVBUFTXop5LOMPnwY3MCY/jRpylncgRi0QXFBQBS0vTso8RPQFxora2s+Np/YvT1ndC9Pp/xmRzbnzvI4FiSqmnjN3TW9jRz/hkraG0M1z3Onsk8u48TRTjEG7b2LGrg1RD0EQ8ZjKdLWLaLT1UW3PxLKalYLoZWEweuKykcR2AciU9T8GmnfivakVSJT/50J7/cNfWCx1rdEuLvbtnsdYjy8PB4xeAJDI9TGmNNH2pjvNaetlKZa/e6EFJKnHQaX+9K/Js2vaB5nVyOsfd/AKz6HJEBojfcQPwtbwZAb22h4cYbX9AaXmwUwyB2yTZil2xb8Hhoff9JzvlZ4QAAIABJREFUmbfpvLPJDQyRG51ECoEW8C9qmigtG0XX8Tc1UUmmqSSSuJaFoutkxyYxi2WinYt0bXJdWp54gOjg3iWvUe/sZMV/fQ3fihVLvvb5VEyLH9z9DM/unySTL5MvVXFn05se3z3ObffvYt3KFt72mnNpq0No/OLZ+tzGhYBbt3Qf85x1HVH2TmaREkqmM1dvIYRAylp0o2o7aKpC2K9hOTV/C019aaMQUkp2T+YZS5exXZdoQOfsnoYT6spUNh3+7TcH+NK9B6i+wHQoTRG86/I+3nvVGvwLdNDy8PDwOF3xBIbHKY0SCBC68EKskVHsyUn0lSsXTalwkkmEruPrWYF/w4b5x/J5zKEh3GoVJRDA6OtbVKxIKZn4n5/AGh2te53G2rV0/O0nT/l0j1ORtou2Mv7Le3GHRsFdfEPnWhau46AH/PjjDVRS6Vo7W9tB0XVc20FKF2UBcSIcm9bt9xIeW0ItzSy+3l5WfO0/0Ts6lnzt8zEth6/f9hjP7p9gJl0kFvYTjwXJFKrkyhbVchknXeLgTIEn9k5yzdY+rtrSR2/H4uaFdzw3WdfcF/c10RE73OXLtF2eGEqybzKHaTn4fSphv05HLMhMvuYQbtouFVnzQpESVEXg11VCfp2WiJ/pfIWmiEEs8NJEJKSU3Ltnmrt3TTGUKFKo2khZi5I0hw0u7mviprO76jLvk1Jyx3OTfPrnuxjLlF/w2s7qjvG5121mY+fCHbY8PDw8Tmc8geFxyhO99lpKjzxKedcurOFhtI6OeWk5h1q/OqkUxpo+YjfdOLfRN0dHyd11N8XHHsXN5pCui9BUtMYmQhddSPTaa9GamubNl/nu95ZUd6GEQnT98z8tS1rWKxGjMc6KG64nPXCQcjKFXamiGQZCrQkF6Tg1cWE7aIEAgfZWXNdFCAXNMFD9tc+CLxRA0TRs00L1HXYgVyyT9gfuJjBT30Z83tr6+1nxH/+O1rw8Bbm/fnQfOwamSGZLrOyIU7ZsRmYKVCwH23FRFYGmCaq2w1S6wC8e2suekQRvumYzZ687WuCMpErsmaovPeqms2vGfFJKfvncOHc+M8ZEpkyubOG6ck485KsWQkBXPES2ZFK2ah22BBA0dBrDBrGAzsFkiaawwSX9bYumXZ1MXFfynw8M8stdU4xnyli2SzRQ80vJVyzG0mXGMiWeGc3yoev6aY8t3kJ510SOT/1sJw8eSL7gdQV9Kh+6rp/fv6j3JXldPDw8PE4FPIHhccqjtbTQ8mfvZeYLX6Q6NIR54AAiEECZdfJ2C3mUSARjzRoa3/wmQlu2ADX375mv/jvW+DhOOo2YNY+TloV5cARzZITiI4/S+t4/xVhd8wWo7N3L1Oc+t6T1dXz6UxirVi37fb+S6LjqUhLP7WLoZ3fhmGbN0fsIFF1HDxkE2lsxGuOUJqcx4jGazz5zTkx2bFxX877I5DDCNbGnlkt03H8nRja15DUFzjqLnn/78lFGiSeKZTs8tnOUmXSBzuYotutycDpPsWqjCEHQp6HMbkh11aVq2ZSrNgPjab79y2eIhg1Wd87P4b93T32taTVFcN3GdqSUfOvBAe58ZozRZBEhBPGQD1URWE6tYLtiOjiuZDJbZkNnbK7OQlUEmqrgSslEpozjurQ3BLm0/8UxEnw+P3xylLt3TjKULNLVEKAhoM+LIFYsh9F0mWdGM/zj3Xv5mxs3HZUylSxU+Ye79/KdRw5SZxOuY3LNhjY+edMmuhrq84Px8PDwOF3xBIbHywKjr4+2j36U3B23U3rkEex0upaPryjonZ0ENm0i8qprCczWXlT27mXmK1+hum8/IhDAt2bNvDa3brmMNTlJZedOpr/wRdo/+hHUaJTxD35wSYZr8Te/meirX73s9/tKQwjBhj9+K9mBYdK794IQKKIWwVA0FV9DDCPegGL4sIolzFye6KqVtF982OSuZ8uZ7PnVbykk0lTyRSLYdPzmDvRSYcnrCV50IT1f/CJKaPl8GXYOTJFIF1EVBRc4MJ4hX7aQgCoERcdFUwW6pqKpCqYlUAToqsp4Is8vHx3gnTfNFxgP7K/viftFfU3Egjr37ZrkrmfGGJop0NUYJOqfvylviRgkChUGpgqYtsPOsSxNEWPuvLJZJVWs4tc11rRFedfV64iHTrzI/0QpVG3u3DHJcLLEysYQEf/Rf8r8usqq5hD7Zwrsny7w230JXrWp5tdRsRy+9sAQ/3LPfgrVpXmgLERHzM/f3LiJ6zYt7Afi4eHh8UrDExgeLxv0tlaa/uAPaLjl9VR27cQtFhGGgbFqFXr7/D/smZ/8BPPgCEootKD7txII4OvtxRoexhwaInfHHVhDw1T37a97Pf6NG2n9yF+d0L1Ix6H07LOUd+9BVioIv5/AbBtbsVgHpNMcPRSi79Yb2f+9n1AYHkULBzEaYmgBPwiBa9mUZ5JU0xnCXR10XnYR4e7DTulGKMi6q7dhlipYe/fQOfg0mrV0p+XItdfQ+Q//sOwu64l0kYpp4UjJ4HiKfMXBkaAALrJWTyIFtiPRNQVVqUUOQn6dZK7M3oMJplKFucJv15VsH6xPYFyzoQ3Xldz17Bhj6RKdDcEF6yaEELREAjhuzdk75FPx6yrpkomUEp+u0tsSZmVzmLdu62Ndx0tTX/DbfTMk8lUCurKguDiEqgjao36m81Xu2TPN1etb+flzk/zd7buXpc5CVQRvv7iXv7h2nWeY5+Hh4XEE3jeix8sONRwitHXrosfN0VEqu/fgFgoY/f2LFl4LIdA6OjAPHCD7819QffrputeghEJ0/Z/PH3MT6hRLlJ56CiebRagqens7gTM2kX/oYTK/uB1zbBwnm0U6NkJVUWMxfF2dNLz61UQu2faKLBjvvORCpGUzeNvtVFIZCiPj82oxfNEo0d4eOi+7mNU3v+ao69dcdgHW448hb38SxVn6k+nY615XK9Y/CSaIEkm+VCVfrFJ1JBJQRC19qXa81qnJcSXMmt0Zsx2cwgEf+VKVvSPJOYExkCiSLtXX5eyK/hZ2jmcYTRaxHUksqB/z/JaIn1ShSmc8yJUb26nYLo4jiQV9nN/XTH9H9CX9fO4Yz5EpWzSGji8Co36N0XSJ58ay3PCF37Krzpa+x+O8lXE+ffMZbHiJRJaHh4fHqYwnMDxOO8pPP42TyaDGYseNBiiGAbpOdceOJc3R8elPLdqy1M5kyfz0pxS3P4KdSuFWqyAEajCEdB3sfAG7WERIiRaPowT8SMvGHBvDHBvHmpzCTiZpvPmmJa3pdKHrykuIretj8oFHmHnimdl6DImi+2javJGOi88n2te74AY384MfIP7jywjHWfK8je/4I1r/8i9P2sZZ1zQKZYuqZaPpOo7jzjMRF9REr1BmjeyQSF1F1xQcV8F2JRXzsGh6bixb17wdMT8rGoP87MkkuYpFQ9B33HtUFUHEr2PaDus6YlzSX/NvqVoO2bLFTL5KLKhjaC9NtK1k2jiuRFePbQgIUKg6ZEo2k7ncsszdFPLxV69ez+vP7Z6rmfHw8PDwmI8nMDxOO9xSCWlbiDpSXKSUyHQa7PqfdjfceuuidRfW9AyTn/8/VPbtw04kUPx+lEAApKQyMIBbKCBdF62pEd+6dfMM4bSWZpxMhsrgIOnbfoavs5Pw+YtHak5nwl0drPm9m1h106sxc3mkdPFFIrV0qQWQUpL4whdJ/Ou/ntB8rR/6S5re8Y4XsmQAKlWLStVC11SCgfkb+ZJZizYIapGLxRCCOd8JKSEU8FEom/h0DeMIL4WdE/VtmLf2NiKEwLRrgqbeTbGiCFxZa1V7YDrPPbumeHQwSdmqibeQT+P8vmauXN9Kb3P9xoDLgV9XURSBfYzK7JLpMJAoMpWrv6bqWCgC3nbhSj5wbf9xI0AeHh4er3Q8geFx2iF8PoSiIut4im1PTCBLpbrH9q3po+1jH13wmFutMvXFf6G8YwdupYKxevW8drp2voAsFEBK3FIZe2ICX/dh4zMhBFo8jnRdzPFxMnfdTWjrlldkqtQhVMNHoKXpmOdIy2L0Yx+n8NOfnsAEKh2f+hQNr3vtoqdYls2BwUlyuSIgiMfDrO5tR519eu44LrsGJnn02WEGR2qO5IoiaGkMs/XMlZyzoQe/obPnYAoUBZ+uYdsOAoFLTRwd+R5LeegfQAikhHzJZFVnkFWd8bnzBmbqK17f3B0DIGToaIqgYtUX3TEth7Bf47GhJF9/cIhEvkq6ZM6JI1fW2uTet3uKW7as4IazOl+0z+qGjigP7E+QKprEAvM3+xXLYTBRYiJbYRkaQwFwwapG/vp3Nx3T0+KQw7mqCHza8SMrHh4eHqcznsDwOO0wVq9GiUQwR0bQ2toW3fS4pRLW/vqLuoXPR9c//GMtIrEAxUcepXrgAG6xhNHXN1c7cGgu91CqTyiEWy7jJFO4ra1H1XFo8UbsqWmqA4NUBwbx962ue42vNJx8ngN//E6cp59a8rXCMOj6/OeJXHXlgscrVZOHtu/mmecGSacLmLPpSYah09Ic4+zNq9h0xiq+d/sT7BuaJpMrUSybKIqC67qMTWUYGk1y/2MHeOuNWymWTTRNw9AUyhUTy3JB1kSGKmqaoha1OCw4NFUhmSsRMDRWdcTpaY3NrW8oWZ8w7m+PAHD2yjgNIR97J3I4rou6iFs61FKhypZDxXJ5YjjNwVSZxpCPtW2Ruc1z1XJIFqrsm8rz3e3D6Krg+jM7Fx1zObl0bQs/frLm41Gs2oQMjarlMJQqM5Ypz0s9eyF0xPx87DUbuGHz0Y0iDjGUKPLr3VM8OpSibNWEY3vMz+XrWrhkbYtX/O3h4fGKxPvm8zjt8G/ahK+7G2t8DDebXdDHQEqJuWfPMZ2jn0/rhz6Ev3/dgseklOTv+w12IonW2jJPXAA4pRLYNkLTEZqG0DSkZeGkUijP64AlFIEai+Hk81QHT0+BUU6kyA6N4JgWWsBPfE0vvsjS0mysiQkG/vCPcIeHljy/EovR86V/JXjuuQseLxYrfPf/3s/A4ATpTAFVVfD7a0Iwlygxk8gyOZXix3c9SQmVbKFKYyxIa3MUVVGQUlIsVUllS+SLVf7rR9uxVQ1FVWhrjJBI5ZElk6Lp4EiJ69R2xKoQKIqCqta6SdmOS7ZQobcjzlXnzf8cTGYrdd1rb1Ot1W57Q5BN3XEmMmUmM2U648EFN81y1uciGtApWy7TxTI9jUGiz4sUGLpKZzxI0DAZTBT4waMjXLC6mXgdhdcvlFhA56r1rWTLJgdmCihCMFMwl8XLAsCvK7zr8j7+5LI+Ar6F60wcV/KtR4a5a8ckiYJJqmjOCcQDMxq7J3L89Olx3nPlGjZ1xhYcw8PDw+N0xRMYHqcdQlGIvuraWtH04GDNUyE6v+uNNTKCm62vSBYgdOmlxN/6lkWPu8Ui1YMHcctlfNGVC5zg1h5Rzy5B6DqyWsUtLJLmoqpI160ViJ9GZAaGOXjPAyR27cMqFGvO6qqKEYvSunkDK6++lFBby3HHKT+3g5F3vxt3ZmbJa9A6Oljx1a9grFmz4HHXlfzwtgfZu3+MQqFMW1sDfuPwplk2Ssplk5GxBKYjcTWd3jU9aEcUPAshCIf8hIIG49NZRiZShCMhQn4fZdNhRWcThWKFyWSeTNHEmX3kLoRA1dRay9rZBJ/ejgZuvmwDG1cdNrSr2k7d/g3tscN1Kzedt4J9kzn2TmQZSZVoi/rn1XWUTZvJbBmBwNA1pAsRVT1KXBxJQ9BHpmSRLFa5f+80N57Tvei5y8kla5r53mMjJArWsqVCAdx8dicfvn49nccwy5NS8o2HhvjFsxMMp4o0Bn2sbQlh6LX3LlexmSlUSRZN/vHuvXz4un76271uUx4eHq8cPIHhcVoSvvxyrPFxsnfeiTUyClNTqPE4aBpuPo89MFD3WGo8TudnP3PM/HK3XEE6DkJVEQuknghVA0U5XEwuajkx0lk4giLNKmo4jLqMRm8vNePbn2D3939KcWoGq1BEDwYQqopr2RQnpylOTpPYsYcz/vANNK5dPGqT//U9jH3wg8jy0n0M3PZOer/9zTnfFNd1GRmemq2vgFgsXMvhH5okly/R3dk0TzhATQQEAgaqrmOVi/gUlWKpSsVxcd1aelPQ0InMdmtqb44yOJog4PcR9utMpovEI34i4QCRcIB8qcpMpki5amPPdpayHJeAT+OsNe289fqzOGN127w1ZMv1taeNBfR5nZZWt0Z499X9fPlXexhPlxiYzqNrCpqqYNkujitpChusbAlTtCU7xrKsbD7+Z7A57GM8U2b7QPKkC4z90wX+7b4D/PipMSxn+aTF+b2NfPx3NnBWz/Gd23dO5Lh71xTDqRK9TaF5aVBCCGIBnahfYyxTZmCmwNceGOSzr93sdZ3y8PB4xeAJDI/TEiEE8Te9Ca2tjdydd2JNTOBkc8hKGWd8fEljdXz6U2gtx36qrgT8CLVWWC5d9yiRoUYjCE3DrVSOiGaIo1KpAKRt4xQK+Lq6CZx5xpLWeqqS3L2P3d+7jezQCL5ohIa+3nkdtBzLojSdIH1giOf+67uc974/PiqSIaUk/Y3/Zup//a8lpbYdIhVtZurKm9jQ0optOzzx2G6efWo/iZkMpmkhAJ+hkylbZItVYrHwUeLiEOWKieW42IpG2VXITqRrYklKBAJNrUUAGmMBGiMBwiE/tu0QCviJBA1Gp3N0t0RRVYVI0CAc8FExbfJlk3SuTMCnsbaniU/80RUE/UenHNV7+359/ufLdlxWtUb4yI1ncu+uKbbvnyZbsnBciaoImiMGF69r5coNHXzk/z5dEzr68VvRBnwapu2SLS3d2LBenjiY5iv3DXDnzsllq7EAWN0c4sPX93Pdpva6i9R/vWuamXyFlrBv0RoLIQRdDQF2T+YZTpZ4bjzL5u7jixcPDw+P0wFPYHictgghiF59NZHLLyf363vI//KXlJ95BlmpL3cdIHbL64hcffVxz1NCIYyVKzAPHsTJ5tDi8zcSQtdRY1HcanU27UkidB0lPL/uQEqJOTGJFosROnszetOxOyi9HJBSMnjnvRQmpjBiUYILdIVSdZ1wZzuF8UnyY5McvOcBNrzx5sNj2DZTn/0s6W99+4TWkF6xlkdb19HqCIq5AnfcsZ19e0bIpPO4rsQf8IGEdDpHsuxguxJNVYhFgws+dbYdl7IDZdWHIwXYLoZac9+WslYAXbEcqraDaTn4dRXTcrh4bTsDMwX2j6Y4MJ4mGvQRCvgQQLlqky1WCAd8rGxv4I9v3LKguABwl7DDth2XJ4dT3Lt7in2TOVxXoioK/R1R3rytj6hfw3QkIZ9Gb0t4Ls1HFQIQSOYy+xblUGH6sQrHTwTHlfxq1xRf+c0Ajw2nl3Xs5rCPP79mHW/c2lOXn8YhClWbJw6myZasuQL6xRBC0BTykSxWeWB/whMYHh4erxg8geFxWmNnMqT++5uUnnoae3ICe3i47mv1zk7aPrpwS9rnI4QgctlllHfuwpqcqkUsnmfyp7e14eQLOLkcOA4iYqA1Ns4dd6tVrKkpXNNC7+pC7+mh8PgT+Do78XW0P3/Klw35kTGyQyPY5QqRro5FzxNCEGxpJjt0kKmndtB3w7X4wiGcfJ6x93+A4m9/e0LzT68/h4mzL0YOjCCl5K47HmH3zmGy6TxNLQ0EAsbck2vHccgNzWCWTUrFMjPTadraD79HUkKxVCWRq5B3BTYCgUQHDP3w12nNHE9SrlokcxAJ6AR0lXDQ4D2v28j3f72DPQcTZAoVsoWa4PXpGm3NUeKxEJed04tQlaNa2B4iuEjh8fPJliw+c9uz7J3IkSxUyVUsFFFrMXswWeCJoSQbuxp4zzX9NAQPixkhBB0NAfZN5ciVrXnHFpynbBH0qXQ0LOxTslTyFYvvPzbK1x8aYrjObln1EjY03nnZat5xySpCJ9DhKVMyMW0XTVXqEiYhQyObrZAqnrzojoeHh8ephicwPE5b7HSGqb//eyo7d2HNzMx5UNRLx+c+hxquv7NR6Pyt+H/5K5x8gergEL7ubhT/YR8MYRhozc24+Tz4fEjHoToygtB0pG3hVKq14m/AKRWZ+fZ3QYASDBJc30/syisJn3P2Ul6CU4Lk7v1UcwWMWHTB+pQjUX06mt+gms2R3j9ELBZi9D3vwRocXPK8UgjGzr2U5LrNmJUqiqJgaTrjA2OkUzk6u1rQ9flfgYqioGkKiqpQrVoU8iUaGsL4DB+pbJFMrkzVsslaYEsFpERBInEPZb0Bs54mqsDv06iYNrbt0NAeozkeoiES4H/ctIXJZJ6HnhslkS0ykSkzka9SsiWlgs0379+PX1fpaQ5z6cZOLt7QMW8zG/Xrc0LhWFRsl+0HEhSrNi0Rg+7GIKoicFxJumhyMFmkULExbZcP37CJoO/w63F5fys7xjIk8lViAX3xds9SkixUaY8FuLy/bcFz6mXvVJ5vPDTMj54cq7uIvV58msLbLlzJe67ooylsHP+CRVDmXof6vksORYC88gsPD49XEp7A8DgtkVKS+MpXaqZ3hSJaLIaVqL/jUPxtbyN0wflLmlMxDFr/9D1M/dM/Ud6zj+rgAIpRc/KWUtaEhaLg7+9HjTeApuHkcjVDQClxk6lam0vHwUqlUQJ+cCXu+Djm+ASlnbuIX389Tbe89mVlvmdXqkjHQdHr+7oRmka5bLL7G9+j8e7b0Mz6U9oO4agaB7ddR65rFQDFTJ5gLIITiZKfyhGNho4SFzAbRfH7KFdtpAu27ZDNFqm6RfLFCqbl4AKm8CEBRcqaIJS1uoyAoSOO2EmqSq2Y37JdVE3lrP4upjMlHtg1zqN7p8iXTMbSJXIVk0PpSGG/jgAmTJuxVIGBqSxPDyd457Wb8M8KAEURNIcNpvPH7zI2XTA5uztWW8sR62qOGDQEdQZmCuwYzfDzp0a59fzeuXMu7GviR08ESBZMxtJluuKBoz53rpSMpkroqkJPY5DzehtZKhXL4c4dk3xr+0G2D6aWfP3x0BTBG7b28GdXrZ3XUetEaQz5CBoqtiup2g7GInU6h8hXLAI+ldbo8kR3PDw8PF4OeALD47TEHBigsnsPTjqDb+VKKo8/Xve1+soVtH7g/Sc0r97aQseHP0T6Zz+nuP0R7EQC1zQRCHw93fi6uohccTnRq6/CyeUoPvkUdj5H5le/RlSquIU8vu4ulFBobjMnHQc7naYyMEjqF79AjYSJX/eqE1rfS4Hq8yEUgbSP7yDtupJkwSSWPkjz9v0oJ1DNa/mDDF72O5Sbak/Ti9k8ZrlCrLWRpCMoFMp0di1etB+PBMgXq5RNF9uySaXzOKqOadkYPh1bCLAFCqAAUoCLAMelYloEDN9c0YKUtXtSVYWmeJgHdk/yk4cPkMpXSBeq5KsWFcvFkRJDUwj4NKIBnXjYX2t3WrYYSxYxbRddVXjXdWfMfS7WtUXqEhi6rs0TF0eiqQrdjUEOJoo8uHeGm87twTe7YQ74NN5z1Vo+f+du9k8X2DOZpynkI+Sv/dkoVGyShWqtIL0twnuuWle3g7WUkh3jOX7w+Cg/enKs7q5YS2VNa4gvv/U81rQeu1ZiKfh1lQtWNTGaKpEomHQdo52t40pSRYu+1jCXrzt++2UPDw+P04VTRmAIIbqBvwWuB5qACeDHwCellHVX9wkhGoFPADcDHUASuAP4hJRy9GTO7XHqkP/N/dipJGo8jjU0CE6d6RZC0PmZzyzq1l0PaixG81veTONrb6b09DM42SyoKnp7G4GNGzGnppj5zvcoPPIodj6PnclgTkyA6+Jf1VtrTXvEk2KhqujNzQifj+rwQdK330H00ktQg8ETXuOLScOqFfgiYfKjEwRamhaNvkgpmZhM0DG2jxW5yROaqxRuYOCyG7DCEcxiiWImj21ZNHW3c95rLuOO3+zEddxFu0MBhAM+ggEd23Gp2C6OaWNrgoChoygKplMzU0PKWrRithjakRJsF1N1UBWB7bjYs7n6Pp+G1H384Lf7GJ7JE/ZrtMeDVBIFqo4kqKq4rqRUtRlNFhBC0BAyiAV9+HWVwekcTw7MsGc8w/quOADnrYxTMm1WNAaZzFUYSZWZyJaPSptKlixsR6KpC7/uQZ+GpipM5So8M5Jhy6rDRfjrO2L85as38h+/OcBIskiyWCWTskDUNtorm8P0Nof448v6WNVy/HTC8UyZnz49zg+fGGPPVP74b+gJIIC2qIGUkoagzmi6vKwCA+DqDa38Zu80e6cKBH0q8QVqVFwpGU6ViAY01raG6avj9fHw8PA4XTglBIYQog94EGgFfgLsBs4H/hy4XgixTUqZrGOcptlx1gG/Br4DrAfeDvyOEOIiKeXA865Zlrk9Ti3Mgwdx8wWUSARnerru62Kvfz3BLVuWZQ1KMEj4ogvn/S734ENMf+O/saZnsNNppKLg5vO45TJC06iOjGLncvhXrIDnFYlr0Sh2Mok1kyD/yCM0XHHFsqxzubFKJcxcAaEoGLEo8XWriXR1UJycpprN4W9Y2NW4lMnRu+MRGkuZE5o329LJU+vOp5LIIRM5VF3DCAYINzdyxjUXs+78zfzyoT0IReA6tZSlhRBC0N0SY9hOU63WWrgK18GxFRwcHEeC0EHU6jWEqmLaDq5b21RWqxaapqKqCsFATZSEg352j2VImNDWEKAhZDCZKWM5Lpoi5szuTNuhXLUZTxWIBHRURcHQVZrCfpL5CvfvHJ8TGLdu6ebp0Qw/f3bimH4QpiPZnyyxvnVxP4ugT6ViOaQKR0dE1rZF+OwtZ/HsaIYH9s+QyFcRQtAaMdi2toVNXbFjpuxN5SrctWOSnz49wSNDy58CdQgBdDb4WdkYJOBTSZdMEvkq9+ye5vJ1LcuaVriqOczvbV3Bt7YPM5gokilZNIV9BPRaq+Jc2SZRqBI0NNa1Rfj4/0HbAAAgAElEQVSTy/teVmmNHh4eHi+UU0JgAP9KbYP/PinlFw79Ugjxj8D7gc8A76pjnM9SExefl1J+4Ihx3gf80+w815+kuT1OIaRl4bou7tBQ3dcIw6D5XX9y0tZUePwJpr72dSqDg6ihEMaqVQhFobR7N8KywOfDLZeRrksF8Pf2zotkAGjxRuxMhtIzz51SAkNKSXrvAcYeeozkzj04pg0C9GCQtnPOpGXzRvLjk+QOjoEEo2G+s7qSTdPx8D0EzKWb50FNGBo3v4E1z+xhZmyKdCJHsWxSVv2oapB7H9zJrsFpdE0lGPRTKJSINSz+VFvXVBqCOsWioOIKNJ8+16o1oKtUpIqJQPP5UFWBrqtYtkOlaqOqCg2RAAG/TiwSYHQqiysEFoKwodIQqhUY58o1L40jc/h9mortuJiWS6ZYpSlSi6TFwwZ7JzI8N5zEcV1URaEpZPDwQLIus7nhTJWwodJ9jBqEWiHywptgRRGctSLOWSvix51LSsnuyTz37Jnmrh1TPDVyYoKxXlQBnQ0BVjQG8B/h2REL6IxlygwmCiSLJs0voLB7IX7nzFrh/fcfGyFRqDKVq2LaLkLUOlWtaAqxqjnEe69aS0fsxCOiHh4eHi9HXnKBIYRYDbwKGAL+5XmH/xp4J/A2IcQHpZTFY4wTAt4GFGevO5IvUhML1wkhVh+KYizX3B6nHmo4DOUSslp/gbBv3brjGuqdKNK2SXz/B1SHD6LF4+iz87iVypzpnurzITUNt1TCyeZwslnUhuf5afh8NSO+4qnzcXRthz0/+CnjDz9OOZnCyhcQWu2rRToOhfFJAk1xGlatAKA4MU05kcIXi6CoKr7xEZoHd6DKpZvnSSFo+/CHafzDP0AIQcXnZ9f0Q2T8UDCLqI6CyBaxk1kS02l8foNqpUq5XCUcCaKqC0cxbNuhlC8R9PswtQBNTVGQLiDQdA1f1WE6U8K0bfyKhhACn65hWS4Bv4+ejjiqopDIFDF8GpYU5EyX7iNcsR0pcSVH+WzoWk2sZAqHBYamKgjAdiRVyyFoKAR8Klf2t3L7c/Wlk+2YKpEpO6xvDaIdMaeUknzFprvRoPUEi6CnchUeOpDkwQMJ7t+XYCK79ML8paKrgu6GAD2NgQXbxSpCoCsK9mzqGcssMIQQXLepnYv6mvjtvhm2D6TIli00VdAdD3L5uhY2dzcsWv/i4eHhcTrzkgsM4KrZn3dJOX+HIaXMCyEeoCYCLgR+dYxxLgICs+PMS+6VUrpCiLuoCYYrgUNpUss1NwBCiMUqidcf71qP5cW3YgUyl6v7fBGOELnqKhTfsfv9nyjFp5+hOjGJlC5ac/PhA4fatspaXr9QFIRhIE0TK5k6SmDg2KAoKMbJWedSkVKy94c/Y/T+hymMT+JvjBPs60WZFRhO1aSSzpAdOIjrOLRv2UxxYob86DhmvkBo73O0TB88obkdRaV0y5vZ+PY/BGD/nmHu/tkDTI4n8AcM2rsPt6GVUlIqlEklszgOuMDEeIK29qajukmZpsX0VIpILIQuNPK2hi8YwG/oc+doAYd82aRQtqiYNj5dRRG191JQK+5NZvIUyiY97Q2kHJXpVJnAEf4VihAIZjsnH7EHVRVB1QXLOfyV5B4SI6ImQA7x9m2r6hYYAGO5KjNFk+6YQWfUIKgrFCp2LS2sMcimruMbwWXLFnsm8+wYz/LUSIanRjLL7lVxLDRF0NXgZ1Vz6JibdykljitRxOEUtJNB1K/zmjM7ec2ZnSdtDg8PD4+XG6eCwOif/bl3keP7qG3y13HsTX494zA7znLP7XGKUbjvvvo9L4TA6O8nfPllJ289jz+Bk06jNTbOSw0Suo5iGLjlMjgOaBpC03ArVdxiEWlZCP3wxtbOZNGiEfx9fSdtrUshNzTC+EOPURifJNLTifa84njV8BFqb6Xiz5IfGUMPBrno439Bdt8Bxj/6cfQTFBemP8jO9RfSu/4MAFzX5be/epzpyRThSJBYfH76kxCCUCSIETAYH5nGRqBpKuNjMxiGjn/Wr6RcrmKaFvHGCL2rOgl1dfDr7fvIFsrzBIZPU+lpjTEynaVctalUbaQEicRyXIbHU0RCBr2djdx05Rl884EBZGr+Jjzo08ipFrbjoirH3gDnSiYhQ6O7OTLvaf35qxq5en0rv9pdf52R6UgGUhUGUhV8qkBF0hjy4SgKP392AkXUxE/FcsiULDJli/FMmZFUiYOp0osSnViIbWuaWN8e4ZHBJGXTOW5koFh1UJRarchyp0d5eHh4eBybU0FgHKr4zC5y/NDvj/do7UTGWa65AZBSnrfQ72cjG+fWM4bHC6fwwAMU77uv7vO17m7Cl2zDv2HDSVuTncvXHLrj83PYhRBo8ThOqYRrmiiqWhMgikC6LtK25wSGW63i5vMYXZ1Et207aWtdCmMPPUYlncFoiB0lLo7E3xDDzOappNJM3H4X5le/jL6E+pgjKTW1sWvdVtxQmHBT7b/m4L5RkjMZXNcl2rB4tx5NU2lsjpHPFonFQgQiQXKZIqZZ64wUiQaJxcJs2LSKbZefTbZY4fFdowyNJolHgviOMKILGDq9HXFSuTLpfJlCycSnabTEQ7Q0RtjU184l565iRXucO54Zx69rFCs24UDt/WwMG6QKVYqmja4pc/UPjiNRjij8dqUkka/QGgtw6cajndA/8ur13Ld3Bvt4rnsLYM7Wb4zlTL7/+Bjff3xsyWOcTEI+ldee28XbLuylvz1CslBlYKbAzokcFcuZV3NxJFJKpvIVmsM+LlvX4qUpeXh4eLzInAoC43gszTZ1ecdZrrk9XiSkbTP1uc/Vfb4Ih4neeCNN7/ijk9rlRei1PH1pWVgzM7iVKiARmoYaDqP4/TiWhaxUwD+bBy/EXJG3Wy5THT6I3tFOZOtW9OamxSd7kXBth5lnd1HN5onO1lc4lkUpm8eqVJFSoqgq/nAQfziEEY+hDh2g8Dd3IizzhObMrFzH+LnbyA9P0tIZYeV5tQjG/r0HyeeLRKKh476PoXCAdCKLoavc+sZrmJ5Kk83WWsNGYyH616/E8NdS0Px+H2f1d1Mqm4xOpWlvjhHwH3a19mkq8bCfSqlCOB5kZWcTr7v2LFZ0xomFDwuuCzd0cGAySzJfIeSvfRaCPpWwX8dyXMqmTUDXEKLWScrQVRrCfhzXZTRZxNBUVjSHOa+v9aj7WdsW4f3XruN/37nnhF7TU5H+tghvuXAFrz2ni4j/cOSoKWxwydoWMmWLgUSR3qbgPPdxqKWnjaZrzQK640Gu6D/6NfPw8PDwOLmcCgLjUJRg4d6VEH3eecs5znLN7bHMOPk8drLWHVhrakKN1NfHPv3d72LuP1DfJLMFwg23vA6xSLHvcqG3tOBWK1j79tfazzqzpnOKQOg+FJ+O4vcjTROnUADXRbouTj6POT6BNE187e2Ezj2Hlre86aSutV7schnXrBmkCVUlMzFNOVfAsW3cWVM9IQTlTB5V1+jJTxIfGTjWkIsigYHOdVTOu4z0xDTBhgjt63qJttSco8vFCrbtEAofv1uPELVCbdt2kFKy+Zy1xzz/5ms2UypXeXbvONPJHAhBKOADBJWqhWXbNMZC9K1o5g9uvpBY5Og1XNTfwZ2PD5PKV5jJlWmJ1lyxVzSHsF2XfMWiaNq1OhxqurJYsZhMl2gI+VjdHuNPrj9j0VqC91zRx87xHD9/duK493+qEvSp/O7mTt54fg9n9zQsKhTfdmEviUKVRwZTDCZKGJpCLKAjBJQth2zJIhrQWd8e5X1Xr6VhAY8KDw8PD4+Ty6kgMA49dlu3yPFDf/0Xq5N4IeMs19wey4CUksru3RTuvY/Sk0/iVms9+RXDIHDWWUSuuAL/xg2LbjycfJ7EF5/fDGxx4m95C/Hfu3VZ1n4snGKR4o4dOMVSrdbCb6DoOiDAcWq1FlUNYfhQo1FkNguui2IYSMtGb2pEb24muu1iGm++afbalx6hqiBq9Q+pkQmqhSK2aaGoKuqhiI0roVxm5cgQscqJGavZispTbf2kYm0Yw2P4I2FaV/dw7s3Xzp2jaiqKELh1pgm50q0JjTqEpU/XeOuN53P/4wd47LlhplMFKlULJMSjAeKxIGdv6OGqC9cR9C+8mY0Efbz1yvX8x107GJ7OUSxbxCN+QoZGT2OQkWSRtG3iItBUhXDAh6GrtMeDbOpp5NZta2k9RqtTIQT/+9bNHEyVeHbs5fM8RAjY1tfMLed1cd2m9qOiEQvh0xTef00/P3xilN/snWEqX6FYtXElGJpKf7ufM7oaeOPWHlY0Le794eHh4eFx8jgVBMY9sz9fJYRQjuzmJISIANuAMvDwccZ5ePa8bUKIyJGdpIQQCrVi7SPnW865PV4gUkrS3/0uuTvvxp6Zwcnl5moPpGlijU9Qeuxxoq+6lvgbfg+hHN2WMvmVr+Ck6zNeVxsbaXnfny3rPSzG1Ne/QWX/ARACJRhEOjZCVWv3oGtIw0BWKjilMtJ2UEMh9KYmGq65Gi0ex9fZQWTrlhfkLn4y0AJ+Ao1xLEdi5/I4josv4J/33gTMPL2Te/HZJ5YSVdQDPNG5ibziQ0MS72qjZVUPF7zpBoKxw1GtltY4/oBBqVg+bhTDNC1cWxIM+ok11hcZ0zSVKy9Yx2Vb1rBncIpktoh0JdFwgPWr2+YVgC/GOX2t/I/rBd++bw/TmRKpQpXpTC2VJ+BTaeuIoagKZ61uoSkaIB422NLXSltDfY7tQZ/Gf7/jAj74/af45a76i75fCs7qjvG7Z3Vyw+ZO2k+gNa5PU3jj+Su4+ZwuHh5IMpYpYzsusYDO+aua6Gw4tf6veHh4eLzSeMkFhpTywGwL2VcBfwp84YjDnwRCwL8d6UMhhFg/e+3uI8YpCCG+Qa0V7d8AHzxinPcCvcCdRzp5n8jcHieHzA9/SPbnt2MeHEZtasZYt+6wl4JtY6dSVAcOkP1Freg5/vpb5l1vTU6S+v++Ufd8Le//C9Ro9PgnvkCq4+MUn3oac3qGwMYNmAdHcPJ53GIJoWmIQy1SFQWqVaTronV20P3hvyRywfknfX0vBCEEzZs3MvDgY1hVE18oeFhcSElTZorOqSGUert5PY9MUwe7ejdj2xLdNGns6eDKd72JllU9R0WxNp61hkcffJbMcB7Lso9qPXskuUyBSCxI/xmr8fmWFg1SVYWNa44utK6Xs1a1sL67kcf3T7F9zyTpQhUhoDka4ML1HZy9qnleG9qlEgvqfPX3t/CtRw7yqZ/tpGIt3VvkZCAEbFkZ57pN7bxqYzsrmo4vmkzb5amRNIlCFYGgNWqwubthXhctv656NRYeHh4epyAvucCY5T3Ag8A/CyGuBnYBF1DzrNgLfPx55++a/fn8XJmPAVcAHxBCnA08AmwAbgKmqYmIFzq3xzJjTU2Rvf1OzIMH0bt7jqq3EJqG3tqKEgxiHjxI9o47CV96CXpb29w5M1/4AnI2pep4GBs20PC61y3rPSxG7v4HsNJptIYYaiCAv2815ugYdjZbcxs3TZAgFAUlEEC6Lr72NsJbt7wo63uhSE1DClHb8Ns2UlFQpUv3xADxXOKEx01sOJvEGVtpEIL06CQNHc1sef2raV29YsHzo7Ewazf0UsiXmJ5I0tpxtL+FlJJsOk+1YtLc08bmc/sXHOtkY+gqF2/o5OINJ8c3QQjBWy5YyYWrm/jwD57h8eH6onrLTdSvcdm6Fq7sb+Xy/pa6W8VWLIfbnhrj/n0JJnPlOZEU0FU6Gvxcvq6VGzZ34tOOjmJ6eHh4eJwanBICYzaSsAX4W+B64DXABPDPwCellKk6x0kKIS6i5sJ9M3ApkAS+BnxCSjl6sub2OHEKv7kfJ51CiUSOWcythsM4kQhOKkXhN/cTv/X1AFQHBsj+6Md1z9f20Y+c9KLuQ1SGh3HyBXztNTEkNA2jdyV6tYqdSs05eQtNQ41GqY6PIx0HJ5dDe77J3ilIJZNDD4VASlzLxpdN05cYJmCdmFeCq2lMnH8l+Z7VNYfpmRQVWyJ8AfJSZd+OAVas7sIIHL1ZvfK6C8im8wzsG2FidIbA/8/encfHddUH//+cu80+I432zZu824ljZ98TJwSSkLCWQoGylDXQPm35UaB0fT19dX1aKNCWlj4PpZS2UFqSkLAF4oSQheAkThyvsi1buzSafb/b+f0xsmPHkjWWJVlO7vv1ysswc+becyVZvt97vuf7DfoIhgIoisCsWuRzJVRNoaOrhVvvvIamlqX/9T0XvS1hvv2Rq/mvnYP81Q8PkCjMLU2tXhG/xrZljVzd28Q1vU1s6oyddXnYfMXir390gOcHM4znKqiKIOyr/TM1UjQZypQYTJXZN5rjt16ztq49Gx6Px+NZfEvmt7OUchB4X51jZ/xXayog+F9T/837uT3zrzTVhE7v7pl1rBaPYw0OUtz5zIkAI/HFL4JbXypI+JZbCF2xeKlH0jTBdU8LaBSfD6Pj9FQbc3wC6UqkZS3WFOsipSR3bIjJfX1YpTKqoRNd1oVjWag+Az3USujYITrHDqHKuaXlVAJhjl25nWq0ESuVJZHKk5cajuEnYKnsePAJVE0lEguxeuMqLr1uC5HYSz0vfH6DN779Vh556GkO7uknlyuQyxWRslZOtqWtkebWRm645TJWrpn9Z+2VQAhBY9CgK+Yj5tdQVYVEvkq6ZJ1T7e14yGBdW4R17RE2dUbZuqyBVc1hlHPoNyGl5Es7DrHzWIpU0WRZPEjIp53yftF0GEiVeLrf5R8fPcxv3rp2QctLezwej2dulkyA4Xn1cgq1JnTCP/tmT+H341ombi6HlJLqwYPkv/+D+k6kqrR+4hOzj5tHaiiM0DXcahVlluuTjnNiA7gSrG9j72JIHjjM4R88TPbYENVsDmk7oCgY4RC2aSGLRdonjtIwMfcmbbn2Hvp6t1KpSGQ5RQ6NjBLAQqCoBj7AsmxKxTKpiTSpiQzHDg1y59tvo7ktfuI4Pr/BpddcTFXz8dQv9lOwNaSUBP0GGzau5NbtW2mKL/zem6Wkaju4Lvg0hY6GAEFdwbZtbFeiqQquBEdKXAnIWh8JgJBPI+zXqFgOuiJ47eYO3rytm554kMagPu839ntGcuweyjBZMFnbGj5lrwXUgqWwT6O3JUzfRJ5njqU5Mlmkt2Xmxooej8fjOT+8AMNz3onj3atdt7bZ+UykrI3VamVQz6YsbcNb34pv1cpznO3ZCV1yMfmdO7FTabTYTO1WauxMFi0cIbhuHWpoaZTXHHt2N3v+4zvkR8ZwyhWMWBTV70M6DsXxCfR8jlVDB+ecEoUQNH/84zTf/nrU5/ZRSKUZHc8yMZLGqVo0NzcSip36ZNwyLdKTGQaPjPC9bz7EW99/N8FwACklT/ziIA8/9iLZfIlcroQ7tcG8WjLZ+eIgfQNJXrd9C5dd0jsfX54LQtDQUFVBuVrrTeJKWatoptSCjpcrmQ6aIljZFKQp4mMiV8FxJZs7o2zpWbi0sh37J5gsVGkOGacFFyfzaQpNIYNkocqO/RNegOHxeDxLkBdgeM47vacH5eDB2r6DePyMY51sFiUUxujppnLwIPmHHqrrHMLvp/lj98zHdM9K5MorSd57H+bYOHY2O2OQ4U51+PYt6yF24/WLPMvp5QZH2PvN+8geHcSIhIl0tZ9SJSqeTxI99iJKnelpL6fGYnT+1V8SvuEGAFpWLcO2bL7x99/GlBma25sJRU5fydENnZaOZiZGEkyMTPLiM/u44sZtPLWzj4ceeZ6RsTTBoI+O9kZ8U1WiKlWLbK7IwPAkDz70LIqisO3ixQ02z4aUkv5EgUcPjHM0UcRyXMI+ja3L41y3tpVIoP7qVxd1x2gIGoxma6VcNUVBEQLbOf375kqwHUlAV4kEav88VCyHoKGd1TnnYu9olkzJYn377KWDG4MGRyaL7Bm5cHp+eDwez6uJF2B4zrvIdddR3rULa2QUtaFh2h4XQK2zdTKJ3t5O+IbrSf7jP9V9jvi734XeuvjlLNVggPhdd+HkC1SOHsOtmujxxpdK8EqJk8thjo2htzQTuvgiQlsuXvR5Tmfgp09RHE+ghQIEW5tOvC5Mk9jzPycwPDDnY/s3baLrb/8Wo7vrlNePHDhGJplFKILgGfpZCCFoiMdITqTZ/3wfvZtX85PHXmRkLE1TPELkZZ/1+3T8LQ1kcyVGxtL8aMfzrFvdSShYX2WjxZQtmXzlkT5eHMqQLFTJVyxcCbqq8OzRFPc+O8hdW7u5c0tXXWlKLRE/l/Q0MJopM5qt0B71YagKZcvBdeWJ1SEpoWo56KogGtAxNBXbccmVLTobAmxb1rhg1+y4kqrt4kqJVsc+Dl1VcFxJ2XQWbE4ej8fjmTsvwPCcd4FtW9F7erCTKazBQfSentOCDOm6WIODCMNA7+lGa24m9/3v13V8JRQi/v73L8TU69Jwy824pRLJ7z6ANTFB+WAfSsAPQuBWKgjDh9HZSfjii+j40AcWrcLVmVRzeRK791LN5YitfKk0rJ5M0LDzcbTy3FvDNLztbbR99ndRfKff3A/1j1DMlwhHQrPePBtTXbOz6TyPPbGHXL5EIGCcFlycLBYNUixVyeSKvLDnGFdfvnbO17EQ8mWLv/reXnYPpkkWqjSGDLrjQVQhqNouqWKV8VyZYtWmbNr80hUr6jru3Vu72DOS5cBontFshYhfo2w5lC2HoKEiEVQtB0dKwj6NtpgfKSWj2TINQYNLehppjZ59Q7x6qYrAUKdWVlyJrp75e287LqoiCBjn/++Kx+PxeE7nBRie804xDFrv+Sjjf/05qof6qB44gNrYiDK1D8EtFnHSaZRwGP/qXlrv+SjJr3617spR8ff8Klrjwj19nY0Qgqa7X09gdS+ZHY9QfPFF3FIZKSWKYeDrqaVFRa+9BkVf2DSUeuWGRqnmi2h+P6qug3QJH9xDeP9uxBwb54mAn44//mNid98945hqxcR1XVR99htHIQSqpuI6DvsPjZDNl2hrPvM+F6gFGelMgd37BpZcgPGNJ/t5cShNtmyytj2CdtJeBJ+uEg3oZMsWRxMFHtg1zLqOGBf3zP6zvbI5zMe2r+XvHz7IYKpEpmjiSontSrJlGwEYWm0T9YrmMALBsWQRx5Wsa4/y5ku7F/CqazZ0RDkyWSBVNGmbJZhJlUxiAZ0NHa+uDfsej8dzofACDM+SYPT00PbJT5D82r9SPXQIO5nCnqw1alP8fnyrVuFb3UvTe96DEgqS/Z/v1HVcJRQi/p73LOTU6xbcuIHgxg1YyRTW+DjScdBiMYye7iVXatM1LaR0EYqCWirQ8MwTGMnEnI9nrFpF999+Ht+aNWceZ+gIRcG160t9cR0HIQTlioVlOfh8swdofp+OadnkCuW6zrFYkoUqO/uTJPJV1rSdGlycLBbQqUZ8TGQr7Ng7VleAAbClp4Hfv2szP3hxlJ8fSTKeKzOULtdSk1yJqir4dZWxbBnHlTSFDLrjIX79ljUsb1r4ogPb17fyVH+S/kSR+Bk2epu2S7Josbo1zPb1Xhdvj8fjWYq8AMOzZBhdXbR/5tOY/f0UnnjyRIChNTURvvYajJUra5Wjvvzlurt2N/7Kr6DOUr1pselNcfSmM29mP9+0gA9F1QhNjNC86zCKPfe+HNG776LjD//wxIrUmXQsayMYCpDL5AnHzlwdyKyauK4kHAuRF8aJ1x3HJVsoky9WcRwXIWpBRSwSIOh/ady59GxYCE/0JUgVq0T82qxdquMhgwNjeZ6fSqVqqrNLdnc8yAdu6OVtly+jbzxPIl9lz3CWw5MF0iUTx5GoiiAeMrh2TQu3bmhb0NSok23uinFRV4x82eJwosjyePC0FKhi1WYgVaIt6mPbskavgpTH4/EsUV6A4VlShBC11YpVq6Z9X1oW6W/8e33H8vmIv3fuqxeuaVJ45llKL7yAUyyh+Az8K1cSueYatIalFbTMt0i8gdYDz+Ef6J/zMYTPR/vv/x6xt7yl7hWaNZtW8dSOZ0hPZiiXKgSC09/cSinJpHJEYiHWb1mLNZRheDTFWCJLvlTFsl1s28GVEgEUSlWy+TIBv0E0aOD3GTQ1LK2b07FsmVLVJuKffRVGUxUCukrFdBjLlusOMI6LBnQuXVELcl93UQeW4zKQLFIyHfy6yrJ4EF8daWrzSQjBx7evoWI5vDCUpT9ZRFcVwr7aPPIVG8eVtMf8bF3WyEdv6l1yK38ej8fjqfECDM8FJf+Tn2An6kvVib35TWhNTbMPnEb2p4+Ruv+7WOPj2JkM0rIRqoIaiZB68HtErr6K5re9DcVYGnsm5lPxqacY+fRn8I+NzfkYxupeuv7mb/CvPbs9Drqhs+XKTRSyBRJjSeItDQRCgVNuJB3HIT2ZRToukcYYHb3dWIEQz+8bIJHMYUvQVBVdV1EUBaTEdlzKVQvTcsjnSizrinPJRSvmfH0LwXUlEqj3nlkIkFOfO1e6qtDbOnt52IUW9et8+vYN3LdrmJ/1TTKer1CZqhTVHvPTEQtw3ZoW7t7SiX+RA6B6lE2HQxP5E4Fab2uYsM/7Z9bj8bz6eL/5PBeU9H/8Z30DhaDpve+d0zlSDzxI8jv3Uj02gFAVtMZGhOFDOjZONlvraZHOYCcmaf/YPa+YIMMtl5n4m8+R/vrXz+k4sbe+hfbPfhYlMHM1pzPZds3F5NJ5du/cS2oiQyaZJRgOIhSBZdqUCiWEqmGrKoOm4Kv/9ThV0yKZLmLbDpqm4TPUl4ISITAUFU1VKJeruNRSbTauXZiNy6bt8vyxJCPpEo4riQUNtq1oonGWVYbGkIFPUylVbRqCxhnHulJSthx8mkJj6MxjLzRBQ+MdVyznTVu7eXYgTapoAtAS9rF1WeOs6WPnw0Suwg/3jPH44UlSBRNHShQBDUGDK1c28brN7XQ3nt7TxePxeEbGKi0AACAASURBVF6pvADDc8Ewjx6l9POf1zU2vH07xvLlZ32O0p69pO69n2p/P3pbO1rjqZ2LtVgMt1KhevQYhZ07Sd1/P81vfctZn2epKe/ezcjvfAqzf+4pUUo4TPsf/RGx1995TnMRQnDTndfS1BZn99N7SSZSVEpVpFvrQG0KDUs1KOl+nGwFJV8lX6xONY4TuLZDtSLRNA1lqtyp69RSplRFwZFghIKkc2Vam+bvqb3tuHxv1xA/3TfKWKZWShbA0BQaQz62rWzijZcvpzU6feB1ZW8z33thmL6xPO0xecY9IrmyhV9XWdUapmuBblwnC1VyZQtNEbRF/YueMuXXVa7pbV7Uc87FwfE8f/vjgxxNFkkWTAxNoKsKtiMZSJUYSpX4eX+Se25azdYF7CXi8Xg8S4kXYHguGJk6K0cBxN/97rmd4ycPY06Mo8XjpwUXxyl+P8ayZZgDA+R+9jjxO++Y89P68801TSa/9Hck//mf6y77Ox3/lovp+j//B6OnZ17mJYTg4ss3svnS9QweGSYxmiSRyPLEc0fICQvV0GlpCOH36biu5NCxBKZVK7cqkUhZS6WyrVr6kFAUdEOvVany+6jaLs/uHeR112+cl/matss/PLSPpw8lGM2UUJRaszohBPmKxVimzHi2zMHRHL95+ya6p6nKtLw5zPr2GOOZCkPpEj3x4LR7DKqWw2imTE88xE3r2+d1H4LtuPy8P8WO/RP0jecwHYlCbc/G1b3N3LKhja7GC/NnfSGMZst8/scH2TuSQxHQ2xI6JXWrajuM56rsH83xpR2H+N07Nngb0z0ez6uCF2B4LgjSccjed19dY43eXoJXXnHW57ASCUov7sHJ5THWnXnvgBoMIAwDO5Eg/4udxG64/qzPd76V9+xh9NOfodrXN/eDCEHTBz9Iy69/HLEAPTwURWH56h6W9XbzlW/sIOUIfEE/LU2REzfWlm3jSomiqfh1nUqlilAV/AEDVVFAgKZphKMhguEAxbJJNl9iMl2Yt3n+5xOHeerQBKPpMj1NQUI+7ZQbf8txGUoW2Tec4Us/3MsfvGUrwWly83/lmpUMpoocHMtxJFGgOeIn6q8dy3ZcUkWTyXyV9oYAl61s4po1LfN2DSXT5ks/6eOZY2kS+SpF08anKbhurdP2QKrEowcmeP/1q7h29dJfWVgM9+8aoX+yiKrA8mkCQp+m0tMYYDhTZiBZ5H+eHeKTr11/nmbr8Xg8i8cLMDwXhNIvdmKPj9c1tvGXf3lOT3XN4RHcUhE1GKyrm7YajeIUi5hDw2d9rvPJNU0m/+7va6sWTn39JqajdXTQ+Rd/TuiKsw/mztbgSJKh0RTlqsnKnpZTvr/H+/4JaqVnDUPHth0UTaOzp/W0nwUx9Rl3jg0DXy6Zr/D4gQlGUiVWtoYJGKf/WtVVheUtYY6M5zk6WeCJg+PcelHXaeOWNYX4rddt5O9+fIChVJFErsJg0kERAlfW9nOsbAlz2comPrx97Yy9Ms6W7bh86Sd9PH5okol8lfaon+VNQRRFUDYdEoUqiXyV4UyJyR9U+ewdG7li1dwKKLxSZMsWvziaIlWosrYtMuPvHCEEHbEAe0dz7B7OMpIp09ngrQJ5PJ5XNi/A8FwQcg8+UNc4oevE7r5rTueQjl2781Tqu2kTioJ0JfIcekQstvILLzDyu7+LeejwOR0ncvvr6PijP1q0HiN7Dg6TK5SJhQOn3chpmoKiiKkqTLWGcZZlUa1amKZ9WvO9ctXC0DVi4fnp7/DYgXFSxSphvz5tcHGcIgStUT+JfJWf7h/jls2d096Urm6L8L/fsoUnDyV4dP84o5kyUoKmCi7qbuSmDW1s7m6Y19Son/eneOZYmol8ldWtYQxNoVi1GclWKFQsLEfiSonjSvaP5vnEf+3ik69dz+sv7lxy/UQWy57hLOmSSdA3e98SVRHEAjqZksmuwbQXYHg8nlc8L8DwLHnStsk/9OO6xoZvvQW1Yfq9E7NRwxGEbuBWKkgpZ72BcysVhGGgRqNzOt9ickslEn/7BVJf//o57bVQwmHa/+D3id5116L2ICgUKliWQ2SaoEDXVIJ+g6ppY9suuqYihIJ0XRzHAV4KMKSUZAtletoa2bJ+fqpI9Y3myJVMWupoSBcJ6AylSoyky2SK5oyVpcJ+ndds7uTWTR2UTAfLcQkas9/IztWOfeMk8lXaY34MTSFXtuifLFKyHGxXoisCVQiEWivFOp6r8uVHDzOUKfORG3pflUFGoWpjOS6+Or8nPk3BciTF6txXDT0ej+dCsfTq/Xk8L1PauRMnk6lrbOzuu+d8Hn/vKoyOdhACt1g641jputiZDFpjA+Ft2+Z8zsVQePxxjtz9BlJf+9o5BRfByy5j1X33Erv77kVvcKaqCkLMnNbUEA2iayqm5eDIqWsUAsHJqVSS8WSegKHT3d7A8s756aZetRwcKdHU2b8mQgjUqdWWqj37jaYQgpBPoyFoLFhwkchX6ZvIUzRtGoI6FcvhaLJIwaxtmo8YKgFdxdAU/JpKwFBRBAykSjyyf4J7d11YKYLzxdAUFCFw6uxD4rgSVbAky+x6PB7PfPN+03mWvMKOR+oap8ZihK+7bs7nEZpG5Npr0FuaMUdHkTPsT5BSYo2OoUbCBNauwbdsfionzTc7lWL4d36HwV/7ANbQ0JyPIwyD1k99imX/+jX0rtP3DSyGlqYoAb9BsVSd9v1IyEcsEsBnqJTLFrbjIIRANzSklBRKVYbGMtiWTU9HI2/YfvG8BUkBQ0VVBJY9e/B2PM1IVcQZ06kWU65iYToS39QN82ShStlyURD4NeX0lDSlFuxFfBoDqRIP7R2jYr36nsr3toSJ+jVyFWvWIENKSaZsEQ3oXhUpj8fzquAFGJ4lr/DTn9Y1LvyaW8+5klFs+80E1q1DjYSpHD6Cnc0ip56aSylxSiXMgQHcagX/ihU0LcEeGFJKMv/zHY7cfge5+797TsfybdzAyv/+Nk3vey+izr0pC2HLxmXEIkHKZRNrhpvZjpbo1EpGbU9G1XY5OpLi0LEEqUyRWNhP77JW3n33lXS3z18/gk09jTQEjRMN4c4kWzIJGCorWsJEA0ujQaOuCBQ4US0qVTRPpP5MF4RJQCDw6So+TWEiX+XJw5OLPu/zrSceZENHlLBPY7IwfeB7XLpk1Tb6N4XY1Ln0Uyo9Ho/nXC2NR2gezwys0dG6m79Fb7vtnM+nBoN0/PrHGPvS31M+eBBrMok1MorQ9RMrGlpTHKOjg/YPfxD/ypXnfM75VO3rY/SP/5jyzmfO7UCaRvNHPkLzhz+0IOVnASpVk0OHRigWKyiKoKU5xrJlbdPm80cjATat6yaTKzEynqazvRFdO7XSlxCCcNCgWNQIBEI0NMXQdA1FQFNjmMs2L2frhm6C/vntfH3t2jbuf2aAsUyZQsUi7J/+6+W4LolchfaGIDduOLv+FZmSyWCqhGm7RAM6q1rCqPO076E16ifi17FdSbZsYjkSATMe33bc2gqMruLTBLmyxcHxAjevb5uX+VxIbr+og72jOfrGC6iKoClkvKzCWW3lYiRbprclzO2bOxY9vdDj8XjOBy/A8CxppV/8oq5xwu8nOE/lUvV4nK5PfZL8k0+R++ljVAcHkbYNioIWjxO95mqiN1yP3rR0ynS6xSKTX/4yya/+C9j2OR3Lt2YNHX/+ZwQ2bZqfyb1MoVDm8Sf2sGffMXK5Ym1FQkDAb9Da2si2S1azbeua0wKN27dvIZHMceDIGIPDScIhP+GQH0URmJZNNlfGcVyWdzVx240XcfWla6hULTRNxdDVBbuxiwRqG7LzZYuByQIdjQFiQQPlpPOVTZuhVImwX2dNe5QrVtfXv+LgWJ6H9o7yzNE0xWqt34ehKXQ2BLlhbQu3bGwjeI6pVn5d5ZrVzQymSyQLtVWYmb5UrpTYjiTsV2kKG1QsB8e1MetID3sluqSnkXdcsYx///kAA6kSiXyVxpCBoSpYjku6VKsw19sS5u4tXVy/xusf4vF4Xh28AMOzpJXqfBIfvPIKFP/8lB0FUHw+YjfdSPTGG7ATCZxiEWEYGK2tC/ZEfy6klOR/+CPG//zPscfGzu1gmkbzhz5E80c+jDDm9yn/calUnm99+1EGhxJksgUMQ8dn6EgpGcumSUxmGR9PMTKS5PV3XolyUlqW36fz7rdcx/0PPcv+QyNk82VS6QJSSlRNpTEWIt4QYvu1G7lsyyoAQsHpqzTNtzdctpxs2WTHnlHGsmXGMmUi/lon77JpY7uSloif9V0xfv21GzG02fusPLRnjH976ijj2QqZsklA11AUqFoug6kShxN5njqS5LduW0fzDNWo6rV9QyuPHJggka9gOS6u5LRKaq6UlEwHQ1OIBXR8U9WmNFUQ9M1+Pa9Ud1zUSUPQ4N7nhhlMlciUTAq2jaoIuhsDdDUGufOiDravP70ni8fj8bxSeQGGZ0kr795d17jQVVcvyPmFEOitrSydkOIl1b4+xv70Tyk9+dQ5H8u3fj2df/an+DdsmIeZTc80Lb79ncc40j+Kadl0djRjnPT0vUlGKZYqjI1ncN1DhMMBtt98ySnHCAQMfvnuq0ik8jy3+ygj42ls2yEY8LF+dSeb13dj6Iv/a01RBO+5YQ2r26I8vGeU/kSeUtVGSogGdFpjAa5e08rtl3TPmEJ1sicPT/L1J/s5NFGgMWiwrj2KPtVUT0pJoWozminznJXm8w8d4LN3bjynTePdjUF+7fpVfHlHH88MZrAdl4ot0FUFSS0typraCB4N6PTEg0gpSRZNuhsDbOmeW2noV4prepu5amUTu4ez7BnJUjIdfLrChvYol/Q0zFtDRI/H47lQeAHGInFLJczhYYzzVIXnQuRWq1QPHqxrbPCyyxZ4NkuHk8uR+NKXSH/j38+pEzfUKkQ133MPTb/2/gVfmdm95yjDw5NUqxadnU2nrE7A1B6KUABNVRkbS/HMc31cccU6wqHTm5K1xCPcduNFCzrfsyWE4Lr17Vy7ro0jE3lG0iVsV9IQMNjU01DXqgXUbua/vXOQo5NFWiN+miOnrk4IIYj4dYKtGocm8uwfzfFYX4LbNnWc0/yvXd2MX1P48+/vZ+9oFtN2cVwXIRQ0RRD2qzRMBReaIkgWqwgBXY1BLul5dQcYUAsyt/Q0sMX7Wng8Ho8XYCwWe3yc0T/4Q3xr1xK5+SaCl1/uLZfPwuzvr+sGWug6/nVrF2FG55e0bdLf+haTX/hi3X1BziSwbRsdf/K/8a1aNQ+zOzMpJc8/f5hcrkRDQ/i04OJkfr+B32+QyxXZvbufq6/auODzm09CCHrbovS2za1a0HMDaYbTJaSEpvDMqWqqImiPBZjIVXhk/wSv2Xh2G8enc+mKOP/0q5fy29/cxQvDWSzHJeLXifp1msIGPk3BcSXjuQqTBZPe1jBv2trlPaH3eDwezym8AGORSMeh2teHNTxMZd9eIttvIf6ud9ZV+tOamKCybx+yXEYYPnxr12J0v/JXQqqHDtc1zrdu3YLtGVgKpJQUf/YzJv7yL6n2HTrn4ynhMK3/3ydoeNvbFq30bKFQZiKRoWpahEJ1dLyOBMnmihwbmLjgAoxztWsgQ7pkEg8bswYMUb/GcLq2J2M4XaY7Hjzn8zeGfPzJmy/mr3+4n76JApOFKsWqhe26uFKSr9hE/Tpr2sL88uXLuH5NfRvWPR6Px/Pq4QUYi0QYBr5163AyGcwj/eSdh1BCQRrfMnMfheqRfrIPPkj5hRdwstna03xFQY1G8a9fR/T2OwhsXphKP0uBNTRY1zjfmjULPJPzp7JvH+N/+Zfzss8CIHLbbbR99rPoba3zcrx6maaN68ipjtyzP2XXNAXXcama1iLMbmkpVG0sRxILzJ5SJYTA0GoViwrVc6sedrKuhgB/cNcmvv/iKI/3TTKRr2I5LkIIuhqDXNwV47Wb2rnoVb73wuPxeDzT8wKMRSRUFa2pCeHzYR47Rv5HDxHZvh2t8fSmX6Vnn2PyK/+EOTiIm8ujhMO1Xgy2jT0+jjUyQmX/AeLveieRm28+D1ez8Kw6qyIZK1Ys7ETOA3NoiMkvfpHs/d8FeeYuwfXQOztp+/3fO28/K7qhoagCx3FPq040HdtxUVQFn7EUt9cvLEMTKIJZu0Mf57oSRakFGvOpIWjwjiuW86at3ewbzVGo2uiqwoqmIO2x0/fFeDwej8dznBdgnAdqOIwTDmOnkhR/9jNid911yvvVo0eZ/Mo/UT3YhxIM4lu7FqG99K2SjoM9OUn18GFS//YN1Hic4JYti30ZC86erK87sN7+ymnwZSeTTH75H0n/53+CNQ9P7zWNpve9l+Z77kEJnL+bwkg4QEtzA2PjaUqlCqFpNm6fLJ8vEQ75WbZscVdaloKVzWGifp1MyaQxdObUv7LlYDu1jeRdDQvz/fXrKluXzV/nc4/H4/G88nk7884TNR7HSWco7Xr+tPdy3/8+1tAwIhhE6+w8JbiA2kqI3taGFo9jDg+Te+BB5Dw85V5q3GKxrnFqPL7AM1l4TibDxN98jkO3vob0178+L8FF8KqrWHXfvbR+4hPnNbiAWirPJVt6iUVDpNMF3DM8na9UTCplk2g0xMWbl1an9MVw3ZoWmsM+SlWbsjlzkQMpJYlchXjY4JrVzfj0V28vCo/H4/EsLd4KxnkiDANp27il0imv26kU5ed24WSz+NasOWMqidrcjH3gANXDhzD7+xelGtBikqVyXeOU4LlvbD1f7HSa1L/+K+mv/xtuoTAvx9Ta22n7nU8Suf32JVWpbNOm5ex85iClUpWxsSQtLQ3oJ/WskFJSKlWZnMzS2trA1kt6CYdffak40YDOdWtbSJVM+icLrGgOndat25WSsWyFiuWwojnELRteOat4Ho/H47nweQHG+eI4CEVBeVn1o8qBAzi5HEowOGtfAqEoqLEYTjZHZd++V1yAQb03x0voJrpedjpN6mtfqwUWda7UzEYYBvFfez/NH/zgkgy6/D6Dt775+hOdvIdHJvEZOj6fjpRQLFVQhKC1tYGLNq/k5hsvmf2gr1Bvv2I547kKPz+SpD9RxK+rNAR1FCGoWA6poknQUFnTFuHDN66mY4HSozwej8fjmQsvwDhPnEwGJRLBWHVqCogsV5COXXfTs+Mbv91KZSGmeV4Jn2/2QYBb50rHUmCNjpL86lfJfOu/kPP4PYu85lZaf+d3MHp65u2YC6GpKco7f+UWfvb4i+zbP0AuV8KybBRF0NrSQEtLjG2XrOayS9ehKBde4DhfDE3hf926jv9+ZpCfHpggka+Sr1pICbqqsLo1zKqWMG+/cjkbOurvtzGYKvH4oUmSxSogaIv6uG51s7dp2+PxeDzzygswzgNpWTjpNL7VqwnfeOMp74mAH6FquHZ9T7WlZSE0DcU/e2+BC40SCtU1zp6YWOCZnLvKgQOk/t9XyX7ve/OzeXuKb/162j7zGUJXXjFvx1xo0UiQO153BTfduIVDh4YpFCuoikJzc5SVK9rP2ITv1cTQFN5x5XLesLWLJw8nGUgWTzS+u2xFnNWt4bpT4EazZf7liaPsHcmSKppUrNrejoCucv/zI1zS3cB7rllBU7i+oN7j8Xg8njPxAoxF5larmMeOobU0E7joInwvK7HqX7sWNRrBGh5G2vZpG7xPJl23tldj1Sr869Yt8MwXn97RUdc480h9DfkWm3RdCo8+Svrr/0bxiSfm9dhaayst/+s3iL3xjQj1wtzcGwz4uPiiV1ha3wIIGto57bEYSBb5yx/u5+B4gexUZaqGQG2FNF+x2T+aI5GvMpQu8enbN9AafeU9rPB4PB7P4vICjEUibRvz6FHcUgmttZXARZtp+uAHThunNTUR2LIFc2QUe2ICvbNzxmM6ySTC78dYtQqjt3chp39e6F31dSsv7XxmgWdydpxMhsy995L+9//AGhiY12NLTaey5VKM216HvOQyrKpJZnAEu2qiGQaNy7vQA94NoqfGtF2+8HAf+0ZzSAkbOqKoJ6WeNQQNOhyXo8kSe0ZyfPHhPv747s2v6vQ0j8fj8Zw7L8BYLFKixKIYq1YSuuIKGn/pl2ZMAYrefgfl3S9SPXgQa2QEra3tlKfU0nVxJiexUyl8vauI3XnnkqoWNF98a9fWNa78/PNYw8N1ByQLQUpJ+bnnyHzzW+R+8ANktTq/xxeCdHMn481duJaG8tBj7P3x4zgSfA0xEAJFVfHHInRu2ciq6y8n3NI0r3NYDFJKDg2l6BtKUbFs/LrGmu44q7vjr8if8YX2dH+SY8kiVctlTVsYZZqvoaYqrGwOcWA8T99Egd3DWbb0eB26PR6PxzN3SybAEEJcA/wecBXgBw4B/w/4opRy5mLwpx6jC3gzcAewAegACsCzwD9IKf9nms/cBOw4w2H/Qkr56fqvZHpaYyPNH/gAoauuQo1EzjjWt2olTb/2fpL//H8xh4aoHtiPEom+VNo2m6014OvtpfEdbye4beu5Tm9JClyyBRQFXPfMA6Vk8KP3sOr++xZnYiexhofJfve7ZL9zL+axY/N+fAlkYy0ke1ajtrUR9vmoFMskR8axKiYSgZbJEYg3Il1JbnSc3OgEI8/v5dJ3vYmWNRdOH4ldfWM8tPMIgxM58qUqjitRFUEk6KOrJcJrLlvFtrX1pc15anYcmGCyYNIS8U0bXBynKoLmsEGyUOWRAxNegOHxeDyec7IkAgwhxBuA/wYqwDeBFHAX8DngWuCX6jzUrwOfAvqpBQ1jwHJqQcetQojPSSl/e4bPPgo8Ms3rP6vz3GekxuNEX/OauseHLr8ctaGB3AMPUt6zByebBdtG+Hzoq1fjW7OG6B23vyI7eB+nhsP4N2+m8sILs46tHjpE8cknCV199YLPy5qYIP+jh8g9+CDl555bsPOUOnoYDjahLV9OIFoLSs2KSWYyjeO4KLoOroMCCOnSsLwb2zQpJlIkDx/jma9/h2s+8k6inUu/R8KOZ49y3+MHGJnMY9kOsZAfn65i2S6DE1nGUgVGkwXS+Qq3XHrhBE3nk5SSo8ki+YrFivjsZYsbAgZ9+QL9k/NTNtnj8Xg8r17nPcAQQkSBrwAOcJOUcufU678PPAy8VQjxdinlf9ZxuKenjvHoy86xAXgK+C0hxDeklNMl7T8ipfyjc7iUeedfswb/b/0m1ugolb17cUtlhN+Hb82a0zaHv1JFX/e6UwIMJRIB1z29d4TrMvixj9P9hS8Qvu7aeZ2DlJLqwYMUHnmU/E9+UlfAcy4it91Gevkahnb3IVQFX/SlFa98KoNVNRFCQTNqG3WtUgmzUMSuVtF8PqKdbeTHEmSHxzj4k8e57N1vXtD5nqsX+ye4//EDHBvL0BQN0hjxn5IO1dIQJF2ocGwswwNPHKS1MchFq5Z+0HS+2a48sfhXT3aZqghcKbGcWVYMPR6Px+OZxXkPMIC3Ai3Avx4PLgCklBUhxO8BPwE+CswaYEyXAjX1+j4hxDeBDwI3AUtrV/As9I6OuisqvdLE3nA3ic9/nuDll6M2NlJ+4YUZN07LUonBD3yA2BveQMtv/zZ6W+uczildF/PIEUrPPktp506KTzyJMzl5LpcxOyGIvPa1NH/0oyhdXRz4k89TzeVpWLn8xBDbsikXSji2gy/w0k24omm4lk01k0Nra0EIQbiliWT/AON7+yilswQbYws7/3Ow49mjjKUKxCMB4tHT+zEIIYhHAkgpGUsVePjZo2xe2XrB7MlIFas8eiDBs8dS5Cs2uqqwvDnITeta2dQZW7Dr0FWFgKGiKgqm4+LTzlxtrGI56KpCxL8U/lnweDwez4VsKfxLsn3qzx9M895PgRJwjRDCJ6U8l52zx5sP2DO8v1oI8XEgSi216jEpZd85nM8zD7SmJnq+8hUSn/88xccfr+sz2fvuI/vggwQvv4zwddfhW7MGY1UvWmMDIhAAIZCWhVss4kxOYo2OYo2MUO07RPXgQSoHDuDmcgt8ZVN0ndjdd9H0gQ/gW1lL/ckODGNVKqiGjqq/9Fe0Uizj2g6KqpxyU6qoKq5t45jmS69pKkYwQCVfIHHgMMuv2rY413OWBieyHBlJU67adDWfuWFcYzhAMlvm6GiGwYkcy9qWbtAEtZWv7zw3xHd3jZAqVkkVTSxHogh4fkjjiUOTrGmL8PHta2mJLEz/iUuXN9KfKJAsmHTO0u07WTSJhwy2LY8vyFw8Ho/H8+qxFAKM4w0cDr78DSmlLYToBzYBq4B9cznBVBrWW6jtmf3RDMPeOfXfyZ/7b+CDUsp0neeZaWVkfZ1T9UxDa2mmvHv32X3Itik9+RSlJ586/T1VBaeuugELRgmHafjltxF/97vR29tPeU+6bu0nlVOfbEvHRUqJEC9rRDc1TMpTX1YNHde2MUtLt8v70dEM+bJJJGjMWhpVUQSRoEG+ZNI/mlnSAYaUkv94eoDv7hrm6GSRkF+jsyGAT1dxXUm2bNE/WSRVNClU9vLZ128kHpr/IOPmda3s2D9B30SehqBO0Jj+V36+YpOr2HQ1BrhpXcu8z8Pj8Xg8ry5LoWXu8buE7AzvH399TmVNRO1R7z8DbdQqSb08SEkAnwYuAiLU0rVuB56jFpR8V5x2R+dZTL5Vq2j+yEfm74DnMbjQe3po/dSnWP3IDto++cnTggsAXyyCaug4pok8KR9eKNNHEtJxEUKg6Oo0ryuoU3s1liLTdnFdiVpn925VUXCli2Wf3wBxNruHs3zvhRH6J4t0x4MsbwoR9uvoqoJPV2mN+lnXHqVsOewbzfEvj/cvyDxWtYS5aV0rPY1B+ieLJAu16lzHOa4kka9yLFViRVOQ123qoDXi9VHxeDwez7mZlxUMIcRRatWa6vUNKeW76j381J/yjKNm9tfUqlA9BpxWQUpKuQfYc9JLBeAHQogngF3UI7BLXgAAIABJREFUqljdBcxaA1VKeel0r0+tbCzNHJULRPOHP0TxsccoP//8+Z7KnASvvor4u3+V8I03zNp5O9DYQHz1CgpjE1RyOQKNtdja8PtQNZVquYom5VSalMSxbXS/H3/spRQj6UqqhQINy7po7Jm5WeP5FvRpaKqgaM6UuXgqy3EIajp+31JYfJ3Zw/vGGc9VaIn4iAamD/BURbCiKcT+sRzPD2YYy5Zpj505jWku3nPNCqq2y2N9CSZyFUZzFQK6igTKpkPUr9PbEuK2je287bKeeT+/x+PxeF595utf6cPUSszWa+Sk/318hWKmfIfoy8bVTQjxV8BvUdvLcefZ7OGQUuaEEP8OfBa4gToCDM/CEbpO99//Hcfe/auYR46c7+nURW1sJPamN9H4tl/COMuqX91XXUZiXx+5wRH0QADN70P3Gxh+P1bVwrEdNF3FrpooioIW8KMHX7o5LWdzaD4f8eVdNCybvwBDSsnQaIp9B4cplKqoikJLc4QtG5cRCp79k+91y5qJBn1MpIvYjoumvrSS4UpJtlilULFwXImQkCtWaF0WYv2y5nm7pvmWKlbZNZAmV7Zm3fegqQqxgEGqaPLYwQS/dPmyeZ+Prircc1Mv25Y1sOPABPtHc1QsFwT4dZWLumJsX9/GtmUNF8zGeY/H4/EsbfMSYEgpbzmHjx8ALgPW8rLqTkIIDVhJbWP2Wd1VCiE+B/wmtX4Yr5dSluYwt8TUn9O33PYsKq2piWVf/SrH3v3uGStJnXeqSvj664m98Y2Et9+MYhhzOkzrxRvovPRiXMsmOzhMoDGGPxYjHI9SLVcwyxUcs7aKYYSChDtaAYGUkko2TymZpmFZJ6tuuHLebhoHR5L8cMcLDI2myOZLWLaDEIKg3+CRJ/Zx0foebrvpYnwz5PlPJx4NsGllK+PpIolMkfZ4GCFgMlchkS1j2g6WU0ujkq6LoghGsmV+3jfOHZeuWJI3xBO5KhXLwW+opwRMM4n4NbIlk/H8wu2VEUJwdW8zV/c2M5YtkyyaCAQtEd+CbTD3eDwez6vXUsgzeJja5urXAf/xsvduAILAT+tdfZjac/El4B7gIeANUsryHOd21dSfF8Yj81cBva2V5V/7Fwbv+RjVfXPa878grFAEs6UdVq1Gv/xS9K3b5hxcQO2GcNPb34hQVUZ3Pk85lSHdfwyEQLUtFAGuFCAUjGgE27QwSxUq2RxCUWhY1sm6226g8+IN83J9h4+O8837n2JkLE25ahEN+wkHfUgJhVKFyVSeTLZEIpnjnW++Fp+v/n0ft162kgMDkxwZSTOazONKQapYoWw6KAI0pZYK5gIIhXTF4TtPHiadr/LOm9YtuSBDTv1X76zE8c/MNQn0LLXHAguSiuXxeDwez3FLIcD4NvAXwNuFEF88qdGeH/iTqTH/cPIHhBBBYBlQklIOnPS6AP4J+ADwfeDNUsozPhYUQlwLPCmldF/2+ruAXwZM4FtzvzzPfNM7Olj5rW+S+sY3mPzil05vurcIJGAFQpRDUey2TmQgiFOtYh8dpJTJkTt4mLUffi/hFXNPeVF1nc3veBNdV25j+KlnmNhzANeyEULgIKjaLo7jYpbKWKUyQlWJdrQSaW9lzfZr6Lns4nm51myuxLcfeJqB4SQ+Q2NFTzPKSTf10UgA07IZGcuw79AID/z4Od5y5xVnPKZlOxwayVAom2iqwt3Xr+O7PzvIoZE0iUwJx5XomoKQYFsuqqYQ8Bt0tDUgVZXByQKPvjhMT0uYGzd3z8t1zpemkIFfV6lYDo4rUWepjlU0Hfy6SlNo7gGpx+PxeDxLyXkPMKb2OnyQWqDxiBDiP4EUcDe1ErbfBr75so9dQS316VFqjfOO+wNqwUWZ2gbtT0/zdHOXlPLek/7/NwBlalP3EOAHLp86hw18WEp59Nyu0jPfhK7T9N73ErvzTib+5nNk77uPE22LF4ja1ISyYiWZYpVcxcbX1YkejeA76WfMtWzKY+PkDh7i4Fe+xuZP/gZGw9zLqQohiPeuIN67Atd2sMsVhKai+X1IV5I4eITk4WNYlSqaz6Cpdzmt63pR6kjNqdczu/tJpPKoqqClKTLtioGha3S1NzAwnGLPgWFuvrZAvCF82rhC2eThXcf4xYFREtnyiTSrkF+nqymML1VEqBUMDTRFAQGaqhIO+2mMhU6sjHTEg4ymizyye5jrN3bNWuJ2MbVG/azviDKUKpEpmTSFZ05Bcl1JulhlTVuEa1Z75WE9Ho/H88pw3gMMACnlvUKIG6ltqH4LtZv8Q9SqPn1ByrqTB1ZO/RkAPjPDmK8BJwcY/wDcSq1aVDO1jIVh4F+Az0spL8yyRa8SWksLnX/2pzR/7GNk77uX/I9/Mm+pU3p3N4FtWwlu20Zg61a0nh6e/+O/ILtnP4FlPejh07fmKLpGsLuT4sAQpaERJp74Od133DYv81E0FSPy0jmFKmjbsJq2Davn5fjTcRyXXS8eI5sr0dYSPWM6kq5rhEM+coUSz+0+xi3Xbzrl/US2xD8+sIvDI2mS+TKKouDXVRxXMpoqMDCRI1+xkLrBsvYoSIkiFPx+He1lXaijAYOJdJnhZIF9Qyk2LWuq+5pcV1IybRRFENDVBUmxunl9Ky8MZjg6WSRoaASM0yuHuVIykCoR9eusa4+yonn6rV4Vy+FYskjFcgkaKsubQhiaVznb4/F4PEvXkggwAKSUjwN31Dn2EaZJcZZSvhd471me9y+opWh5LmBGdxctH/sYLR/7GNbICKWdO2udufuPYPYfxUkmcctlZHVqK4+qogSDKKEQWmsrekcHemcnxvJl+NauxbdmDWokcso5Jh5/imoyhWLo0wYXxwkh8Lc0UxoZI/HUL+i8bTuKtmT+qp2VTK5ELl9GSom/jn0V4ZCfdLbEyPipvSlLVYt/enAXe45NUjFtupsjBE46nuO6DEzkKVUsNE3BldAQCc54HiFqTfcKFYuhyUJdAcZAssij+8d5+vAkpamyuI0hg+vWtnL9urYzrjScrStWNHHdmhYsx+VIokA8ZNAU9mFoSq06VtliMl9FUwSr26K895qVpx1jPFfhR3vHeOLQJOmiiSNr/UJaIz6uW9PCaza00eilVXk8Ho9nCbow73o8njPQOzuJ3X33tO9Jx0E6DkLXz/rJda7vCGYuX1fKkxrwg5RUJ1OUx8YJdnVSzeaxKxVUn4G/IbbkNidPx7YdXClRFFHXfBWlVsnKflkjvCf3DnNkNEPFtFnRFjstpUlVFCJBg2SujGW7JNIFomH/KXs9ZjqX5Zw5NU5Kyf/sHOCBXcMkCxVSBROJRMpaCdcjEwW+/8II77u+l6vmKU1JUQQfvKEXTRX87GCCyUKVg2O5qc3ckpBPozXioyce5DduXUt3/NRgavdQhr/bcYjBdIlkwURXBZoiMB3JQKrI0ckijx9K8Ju3rmVl8+mpaB6Px+PxnE9egOF5VRGqOmuju5k4lUotONFm/3yts7aGa9uMPP0cyWMPkh8ew3UcFFUh2NJM15Vb6bpi6yn9K5aagN9AUxXsqVKxs+11sCwHTa1tyD7OdSVP7B0mmSvT1hia8RiaIlBVBct2MS2HQrFKNDxzb42qaRP2G0RmaGR33P/sHOA7zwxyNFGgIaizqjWMX1eRUlIyHSbzVZKjWf5xRx+aqnDZyvrTrc7E0BQ+dEMvt6xvY8eBCZ49lqJiuQgBPfEgN69r5areZvwv68DeP1ngCw/3cWAsj64KeltCJ8Ycn/NYrsLuoSx/86OD/MFdm7xSsx6Px+NZUrwAw+OpkxrwI1QV15q967SUEqdqkh8ZJ/3gw1TLFeyKiaKpSMchNzRG5ugggz97mi3vezvRrvZFuIKzF40E6O5sYjyRpVCsEI2cORjK5svEYyHWr36pud9YqsB4qojjSkL+mYOBcMDA0FXKpo1lORRKMwcYluNSrNh0NYW5eMXMqw4DySIP7BrmaKJAdzx4SldtIQQhn0bIpzGRq9CfKPD1nx3hou4GfPrcgtCXE0Kwui3C6rYIUq7CtF1URZyxP8Z/PzPE0ckifk2huzFwyspRxXKp2C5Rv0YiX+XQRJ4HXhjhfdeenmLl8Xg8Hs/54u0U9HjqFFu7BiMWxcrM3lTeyhewiiXMqkU5V8DfECO+ZiWNq5bTuHolweY4lUyWyf2HeO6fv0FpMrUIVzA3l128koZYiFSmcFrq08ly+TKO4xJvDLNxXdeJ10umje1KDO3MG6o1VSEW9KGrCpbjYs9QFUxKyViqSCxksGVlM41n2DvxyL4xkoUKDUH9lODi5VoiPhQB47kyTx+ZnHHcuRBC4NPP3HxvLFvmheEs2aku4Me/XtmyRd9Egf1jOY4kChxNliiYDkcmi3zzFwMMJBe/VLPH4/F4PDPxAgyPp07xbVvwNzfh2jZWvjDjOCklxcFhHMD2+Yit6MEXfam8qxACIxwitqwbJGSPDXPo+w8v0lWcvY1ru1i9oo1YJMjQaIpCscLJhd1sxyWZLpBMF+hsa+Dmazdi6C8tjhqaiiJqG7ln09oQwKerCCBXNClWrBPnklJSqlocm8jjSljZFuX1l8/85N5xJU8fmSRVOHOpWKh9T5rCPpKFKk8eWpgAox7PDqTJlExiAf1E/4yxbIXDiQKT+SoF08F2JI4rsR0X23E5lizxme/s9oIMj8fj8SwZXoqUZ8lySmVyT/+C7BNPYSYSICV6YyPRKy8ndvVVaLHoos5H9Rl03HoT1UyW4sAQgdZm9Jdt1nZMk/LIOLZp4aAQWLECZYY9H0IIwh2tpI8cY2L3fiqZHP6Gxb2memiaytvuvopv3v8UfUfGSGeLJJJ5DENDSlnbCxH0090Z5zXXb+bS/7+9O4+S66gPPf799b7Nvmo02nd5w5ItC8mWZBsbLxgItgOHzWFLQsCEAAkcQl4gL8lLzguYF+eFLWATHGInJiEhDzsstmxjbON91WJJM9KMZkbds3dP7931/rh3xKg1S/eoZ6ZH+n3O6dPSXaqqa+revr++t6ouPPWiv7UuSG3IR1ckSjKdxeeZ+rTjcTkJel0IQjDopXcwTt4Y3E7HyTsa9SEfyxpDfOTN59NaN/VoXvFUlkQ6h4EpH3nKGxgaSzOSSJPK5IkmMzzbOUDvcIIltfPfNyaWzJLJGXz2MLQDsRQ9Iwni6RwepwO/01FwFyhLLp/ncDjGHT87yJ/edB61AR1ZSiml1MLSAENVpNjLr9B71z+SDkfIDA6STyQBg8PrZezAQfr/3wO0vPNWai/fMa/lar1qF+mhYXofepREX5hEuB93VQhxOMilUuSSKZx+H8bnIxeoxh2afoQfh8uFOxggNRol/PI+ll9x2Tx9ktIEA17ed/NOnnu5k2df6uBEZOTkJHk+r5sNa5aw7eI1rFx2en8Ij9vJpRuW0N0fJTISp71x8sn6wBrONpvLc/7KBna9YQXPHY4QHkmQzeVxOhw0VvvYvqGVyzcvnfbRKICTWRiDMea0PPtjKfqGk6SyOTJ2J/Zs3nAkHOPz97/A1lUNfODy1QS9sz9NGmM40j/G0x2DDMfTuBwOltb52bm2cdJHtjwuh3W3xxjyxtA3miKRzuF1OfBM8miViOB1CXljOByJ8dD+MO/YUlkzmyullDr3aIChKk7slVfp/to3SR7pBIfgbmjAGQqCCLl4nOzAIJlIP73fvQfyeWp3XT5vZRMRlt/8VoLLl9G39zFiR7vIjo2BMbj8fjx1tTjr64gf7sKZK25+SJfPSy6dITXNY1eVwO12cdmWtWy7eA294WHG4ilcTgcNdVUzdv6+4vx2ntzXw8HuQXoHx2idZDSpsWSa7kiMtoYqdl+4nLdtX8tbLl1N31CcZCaL1+2ktS6Iu8hZyoNeF7UBaxSseDp3SqBwYjRJz3DCmnAPweNykMMgksfhEPb3jTIUT9MfTfFHN2wiMM1dl6kcjsT4pyeO8vqJKIPxNKlsHoddrn97tps3rmng3dtXnDKK1MrGIFU+F8cG4vhcTpIZq8+Le5KRtwyQzRl8PidttT7C0RSPHAxz00VtRdeRUkopNRc0wFAVJZ9K0fvde0h2dOIIBfG0NJ/yy7MrFMIVCpEZGCTZ2cmJe/+V4HmbcTfUz1sZRYTGbVtouPRiYh1HiR/vIZ/N4g6GqNm8gfBrB+k5di8mmywuwbwBYcpHqSqNiNDWUlfSPo01AX7r2gv49oMv0hUe5eDxQWoCXrweJ/m8YTSeJpfP09YYYtuGJdx42RrA6vjdPst5HkSEy9c302H3XxgPMGKpLL3DCeKpLD63E7fTYT3qlcnh8zhZ0RjC73FxJBLjxa4hvv9EJx/eXdps6a/1jPDVnx7kSCRGLJWjLuim2ufCGKvDdu9wgkgsRddQnD+8buPJAObCpbUsqwvSPZQgHE2SyeVxn/ZYlCWdy+NyCCGvm/qAh0g0RXg0xdGBOGubdW4MpZRSC0d/5lIVZfTZ50ifOAFwWnAxkbuhHkcgQGZwkOFfPjGfRTxJRKhavZKWK3aw5MpdNG7bgjsUJNTShDvgJxMbO6Uz9GSMMaRjY7gDfoKt5ZnkrVJtWt7A7W/byuXnL2PNklpcLgcpu9NyU02AC1c18xs71/OBN18w7UhLpdi1sYWmKi/JTI7wqNU5vT+aIpXN43Y5TgYXyUwOh0Pwe1xU+914XA5WNQbpG0ny1JEBhuPpovMcGkvzdz+35rFwOoRNbVW01fqpC3qoD3lY1RRkbUuISDTJ80eHuPvxzpP7OhzCtee10F4XYCiRIZc3FN68MFjBRTqbx+u2ZvYWkZP9VBLpmYdRVkoppeaS3sFQFWX0iafIDg7hqq+fceZod309qePHGX3iKZpuunGeSjiz6uVLqVm+lFhfmNRIdNqO25l4AmPyBJsbaT5vwzyWcmGsaKnh9rdvpac/yosdEWKJNC6ng2WNVVy0phl3EZMYFjPh37iGkJfbrljLt/YepCMSYzieYTSZIZ3NEfS4SGdzpLPWY1FBr4vlDaGT7c7rdhLyuhiIpXj89Qg3XrR0htwsew+EOT6cwOGApQXzWIzzup2sbgpxsC/KU0cGuGVrO83V1pwfb9rUQtdgnN7hOMeHk+QyOfyAAHkgk82DQMDjpK3WT43dlyObNzgdUrY5PJRSSqnZ0gBDVZTMwCC5ZBLP0rYZt3UE/Jh0hszwMPlMBod7+hmd54uIsGznpQx3djHa1YPD7cITDJy2XTaZItbbR6i1hfbtW3C4zp3Dsa2xirbGqqK2zecNr3QP8+j+Pg70jpLO5vC6nGxur2X3xhY2ttVMG4zuWNeEyync8/gROvpj9EeTGAPJTA6nQ/B5nPg9VnARKOjQXe13E01mOD6UKKqs2VyeRw9GGIilWVo/eXAxzuNyUBNwMziWYu+BML956XLAaj8f2LmK/liaf/7VUcbSOXJ5g8EKMnxuJz63k5YaH41Ba8SohH0nqD7gZXn96W1NKaWUmk/nzhWNWhRmeqRosVhyyUWMHD3O0UefJHq8F6fPi6+2BofLhcnlSI6MkhmLE1rSzJItF7DyyvnrqL6YjMTT/P3P9rPv+AgDsRQj8Qx5Y/1SfyQS44nXw1y0vJ7fvmo9oWlmCd+2upELl9Vx35OdfPORQ4ylMlT73HhcTupDXqr97kmDAYcAxppToxiDY2n6YylyxhD0zHwnoTbgJjyaoqP/1DksRIRPXL2OI/0xftUxSNDjtEeYEqr9bqp97pOPThljOBFN0hDysGNt4ymdxpVSSqmFoAGGqiiexgacXi+5sTEctbXTbpuPJxCPG1dNTcXcvRgnImy8+QY8VUGOPvoEicERUsMj5HN5xCF4qkJUt7XSdtnFbHjrtTiKeDToXDOWynLHA6/xwtFBhsZSNIZ8LFnix+kQsnnD4FiKjkiMWDJLMpPj0zecN+3jQT63kys3t/LzfSc4HImxbkk1jhkew0ukc9adhmlmAZ8oncuTz4NTZMZH/AAcIuTzhnT29EkIfW4n15+/hKGxNJ0DY7RU+6j2uU6ddyVv6BlOkMkZ1jUHuGZzS1HlVEoppeaSBhiqolRfto3oiy+RifTjqpn+0ZfM4CDu+npqtm+bxxIWT0RY8+Y9LL/iMnqeeZGBA4fJJpM4vV7qVi2j7dKLK3JivUrxH88e49XuYUYTGda1VJ/S8dvtFFqq/dQFvBwJR3nx2BAPvHSct29dPm2ay+oDLG8I0jUUJ5rIUDPNpHR5YxgaS7OmOcS21Q1FlTnkdeFyysl5NWbqK5LOWqNEhaaYa+OtF7URiab42b4+uocS9I4Yav0eHA4hlckxnMhQ43ezobWKj125lha7H4dSSim1kDTAUBWl+tKtRH74n2Qi/WROhHFPMZJUZnCQfDyOb+lSai/fuQAlLZ474GfFru2s2LV9oYuyaCTSWZ54PcKJ0QSrm6qmHFXK43KwrCFA92CcX+w/wY1vaJ92DggR4cpNLbx+IsrxoTh+jwuP6/TtjTH0DCUIeJ2saaliTZHDvtYGPKxvqaJrMM5wPEN9aPpZtQfG0jSFvGxZMfmwvyLChy5fRXudn5++doLjQ3FGU1myuTw+t5ONtX4uWFrDLVvbWTXL4XyVUkqpctMAQ1UUh9fLktveS/fff4Nkx1Fy8aO4G+pxVlkXT/l4nMzAIPlkEt/KlTS/65Z5nQNDzY/nOwfpjybxupwz9ikIeKzHhvpGErzSNcTFK6e/23DF+maeOjJAKpvjcDhKc7WP2oAHp0MwxjCWzhEZTZLLG9a3VvGe7SuLetxp3JUbm3mpe5iuwThVfteUAc/QWJpsNk9LtY/t09whERGuO38J12xu5YWuYY4OjJHO5gn5XGxZXkdb7fSTHCqllFLzTQMMVXFCF5xP+0d/m567/tG6kzEwQKq7GwyIz4u7rg7fyhW03HrzvM7iPd8iff3se/F1RoeiGGMIVgXZcMEa2pa3lnTBuxj1x1IkCmbfnoqIEPK6SKRzPNMxwK86BhlOZHCK0FbrZ9eGZtonjKzkcTn4xJs28Hc/hxe7humPJukdTuByOsgbg0OExpCXJbV+fu+qdaxtKW60q3HbVtVzYXst8XSOQ+EYbbX+U/pOZHN5+mNpBmNpVjeF+I0t7UUNLet0CFtX1LF1irsdSimlVKXQAENVpNCFF7DmL77E6FNPM/LLJ0lHImAMrro6ai67lJod23HV1Cx0MefEyNAoD//XLzh+tJfo6BjpZBoDeDwuXn1uP81tjey5YSctbWf3xHwiUOygYolMjhPRJP/+XDd5IJXNIwhBr5OfvNrL+e21fOiKNdTZw7qGfC4+c90mnukcZO/+Exzoi5LN5a3gosrLFeub2LWhmfqgt+Ryu5wObr96HXljeKlrmPBoiuNDCfxuJ3ljSKRz1ATcrG0JccvWZVy9qbnkPJRSSqlKpgGGqljOQIC6K3dTd+Xuk8PXnu2/3A8PjvDDex6g92gfY7EEwaoA1bXWL+ipZJpwT4ThwRFGhqK85Z3X0La8dYFLPDeaqnz43E4ioymYIY4ciqc4MZLACMhYmtZaq/O3wTCayHCgL0p/NEVkNMlnb9x8MmhwOR1sX9PI9jWNjCYyxFJZPE6hNuA545nEq/1u/uj6jTxyIMLD+8McG4iTzuVOBj0XL6/jTZtb2Nx2dgbJSimlzm0aYKhF4WwPLADy+Tz//W8Pc7yzl1w2x9IVrTgcv77Q9Qd81NRVMRAZorfrBA/+4CHe89Gb8fpK/5W90m1ZWU9ztZ+eoTjxdJaAZ/JTVTqXpyMyRiZvCHrdnLe05pQ6q/K5aanO09E/xqvHR/jm3kN87sbzTkun2u+musihaIvldTm59rxWrtncQufAGCOJDC6HgyU1PhpCZ9/fTCmllBqnAYZSFaK7o4cTxyMkEynalrWccqE8TkRoaKrjRE+EoYERDr5ymAsu2bwApZ2dWDLDk4ciPHkowtBYCocIzdU+Lt/QwtZVjSdHdPK6nVy+oZne4ThdA2OsaqqadLSnvpEEY6kMLqeDtvrApHXmcjpY1RjkQF+UfT0jdERirGqavxGXRERHeFJKKXVO0QBDqQrx2vMHiI7EqKoOTnqhPE5EqK6pYnQkymvPH1w0AcYTr4f5p8cPE4mmGIylSGVyCOD3uHihc5C2ugAfvmo9G5ZYjw3dtGUZB3pHeb5zgEMnRqkPeamzH1/K5PIMjKXoHowDQl3QS1P11KMpuZwO6oIeBmJpHjkQntcAQymllDrXnNmDxkqpsukPD5FMpAiEAjNu6w/6SCXTDA0Mk8vm5qF0Z+bxgyf4h4cP8lr3MMNjKZqqvKxvrWZtazU1ATd9Iwle7Brkqw+8ysHeEcCayfqT123i8g3NrG6pImcMhyNR9vUM0xGJks8bvG4nHreTta3VM05qV+N3E0tlOT4Un4+PrJRSSp2z9A6GUhUil81hjCmqv4mIIGLN25DL5XC6Zh7mdKEMRJN877HDHAlHaQh5aaw6dbbpuqCX2oCHnqE4R8JRvvXwQf7ynVutGa59bj553WYOnYiyd18fB3pHSWVy+D1OltUHefRQhN6RFM4iOmU7xJqdO5MrcmgqpZRSSs2KBhhKVYhAyI/L5SKTzuCaIWDIZLKICG63G7envJ2Ty+2xAyfojybxu52nBRfjRIS2ugCHTkTpHYrzfOcA29Y0nVy3rrWada3Vp+wTT2d5oXuE7sEE2Vx+xpGfEpkcHpej7J25lVJKKXUqfURKqQqxeuNKQtUBoiOxGbeNjcYIVgdYvbG0WabnmzGGxw+GGYylaJgiuBgnItSHvAzEUjx+MDxj2gGPiwuX1VLtdzM0lp5x+4FYmoagl22rdOZ3pZRSai5pgKFUhdh04TqqaqpIp9LEY1P3E0gl08RG41TVhDhvy4Z5LGHpkpkcI/E06VyegGfmx7iqfNaM3OGRRFHpX7mphaYqH+FoimRm6r4o/dEUeWNoqfY4lvoPAAAZ70lEQVRx6eqGosuvlFJKqdLpI1JKVYhAyM+23ReTTlkT6qVSGapqgrhc1mGay+UYi8YZGYrS2FLP+Vs2Vvxs3uMzcQvFzmUigKHYXhIXtNeyfW0jqWyOw+EYLdU+6oIenHaH71QmRySaIprMsLo5xDsvW4G3gvurKKWUUmcDDTCUqiBvuOx8suksv3r0OUaHovR2ncDpciFAJpslEPTTsrSJzRdv4Io3b1/o4s7I73ES8rlxOoREOot/ignzxo2lMvjczqInohMRPrJ7DcYYnjzcT2Q0Rd9oAo/TgTGQzRvqQx7Wt1bzvh2r2LmusgMypZRS6mygAYZSFUREuHTXxbSvbuOVZ/Zz5EAn6VQGYwwut4sVa9s57+INrFi7rKL7XowTES5b20RnJMZALEV7/dSnHGMMg7EUTdV+tq9rLjoPr8vJx65azxvXNrJ3f5hXu0fI5PKIQMjrYvvaRq7a1MKy+mA5PpJSSimlZqABhlIVaEl7C0vaW0gmthMdiWGMIVgVIFjEHBmVZvfGFn72cg+v940yHE9TG/Ccto0xhvBoEgO01PjYtrqxpDwcDuGSlQ1csrKB4XiakUQGpwiNVV58bn0kSimllJpPGmAoVcF8fi8+f3GPC1Wq1toA77h0Bfc92UFnJEY0maEh6MVvd/qOJbP0x5Jkc4bVzVW8/4q1eM8gKKgNeCYNYpRSSik1PzTAUErNuesuWooI/ODpowzGUnQNjpHO5gGrn0Z9yEtTlY8P7lnHxSsrc5SneDpLJJoilzfUBjzUBzWIUUoppSajAYZSas6JCNdd1M6WVQ08tv8ETx6KMJpII1iPMe1c38LODc1U+yvvor2jP8bP94V58sgA8XQWY8DjcrC5rZqrNrawdXkdDkfl94dRSiml5osGGEqpedNc7efmbSu5edtKqyM2zDgD90J68JVevv/UUSLRFIPxNG6HAxFIZfN0D8V5/tgwO9Y08Lu71+JxVe7nUEoppeaTBhhKqQXhruDAAuDhA2G+9+RRDodj1AbcrGuuwmsHEbm8YSieprM/Rjqbx+kQfm/P2kUxspdSSik11yr7G14ppRZAIp3jX54+Rkd/jNYaH0tr/SeDCwCnQ2gMeVnTFKJnOM7jh/p55fjIApZYKaWUqhwVE2CIyA4R+bGIDIpIXEReEpFPikhJw8mIiJnm9eQ0+71FRPaKyIiIxETkKRG57cw/mVJqsXniSD/haAq3w0HDNJ25fW4njSEv/bEUDx8Iz2MJlVJKqcpVEY9IicjbgB8ASeA+YBC4CbgD2AncWmKSR4G7J1nePUX+HwfuBAaAe4A0cAtwt4hcYIz5TIn5K6UWsac7BxkcS9MQmrnTeUPQw76+KC90DZPM5HTeDaWUUue8BQ8wRKQa+BaQA/YYY56xl/8J8BBwi4i8yxhzbwnJdhpjvlhk/iuBv8EKai4xxnTay/8MeBr4tIj8wBjzRAn5K6UWsdFElnQ2j7+IYMHldOB0CJlcnlgqqwGGUkqpc14lPCJ1C9AE3DseXAAYY5LAF+z/fnQO8/8g4AX+bjy4sPMfAv7S/u/vzmH+SqkK43IIIpA3ZsZtjTHkjUFEcOtwtUoppdTC38EArrLfH5xk3aNAHNghIl5jTKrINGtF5INAKzACPGuMmar/xXT5P1CwjVJqgYzE0xwbjJPNGap8LlY1hXDO0QX9svoAIa+LkUSGgGf60+RYKofL4aAx5KXK556T8iillFKLSSUEGBvs94OFK4wxWRHpAM4DVgP7ikzzIuDbExeIyIvA+4wxL5eQf6+IjAHtIhIwxsSny1REnp1i1cbiiq2UKnQ4EuMnr/TyTOcgsVSWvDG4nQ7aav3sXt/MVZtaCHrLeyrbs6GZvQfCHArHaAp5p5yrwxhDOJaiMeRh9/omnXBPKaWUojICjBr7faoxHseX1xaZ3lewOowfxOo0vhH4LNajWA+JyBuMMcdLzD9obzdtgKGUKq+H95/gu4930DeSZCiexu9x4hAhlc3TNRjncDjGE4f7+YNrN9JU5S1bvmuagmxaUs1ALEXHwBirGoKnBRnGGHpGkmRzhtYaP7vWNZUtf6WUUmoxK0uAISKdwIoSdvknY8x7i03efp/5YWjAGPPpgkXPALeKyP3AzcBngD8oMu+S8jfGbJ00AevOxpYS8lTqnPd0xwB3/eIIh8IxavxuNrRW47bnojDGEEtl6R1O8NyxIe74yX6+cNN5Mz7OVCwR4aN71jIUT/Nazyj7+qLUBdxU+90IEE/nGBhL43U5WdcS4vf2rKVumuFslVJKqXNJue5gHMa6W1Csngn/Hr9zUDPZhkB1wXaz9XWsAGNXwfIRoNHOf2Ca/EfPMH+lVJHyecO/PN1F50CcxpCXpmrfKetFhCqfm0Czi8PhKPv7ouzdH+aGC9vKVob6oIc/vmEz3/7FEV7qHmZgLE0klgZj8LicrGwIsqIhwG07VrFpSfXMCSqllFLniLIEGMaYq89g9wPAJcB64JQ+DCLiAlYBWeDIGeQBELHfg5Pk32jnf8pQtCKyxN6+e6b+F0qp8nmxe5juoTi5vKFxmkefnA6htcbPiZEEjxwIc935S8raD6Iu6OEzb95I91CcRw9G6B1JkssbagNu3ri6gfOX1iCi/S6UUkqpiSqhD8ZDwHuA64B/Lli3CwgAj5YwgtRUttvvhYHKQ1iT+V1HQYABXD9hG6XUPHn+6BBDY2nqg54ZL+CrfC6ODxm6hxIcG4yzsvHU3xB6RxJ09o+RzRtCXhebllSXPFdFe12Ad19WylOgSiml1LmrEgKM+4G/Bt4lIndOmGjPB/y5vc3XJu4gIgFgORA3xhybsHwLcMAYM1aw/YXAX9j/vacg/7uAPwI+LiJ3TZhorw74vL3N18/oEyqlShJLZcnk8oT8M5+iRASPy0k2nyeWypxc/lL3MA++0scrx4eJpXIYe/Sp5iovO9c1cv35S6gNaL8JpZRSqtwWPMAwxoyKyEewAo29InIv1qzab8UaQvZ+4L6C3bYBDwOPAHsmLP8E8A4ReQjoAlJYo0hdBzixZgw/5S6JMaZDRP4Q+FvgGRG5D0hjjTrVDnxZZ/FWan55XA7EIeTyRY3tQN4YHCJ4nNadiR+92MN9Tx+jdyRBLJkl5HNZo09lcnQNxTk6GOfZo0N86poNtNX65/KjKKWUUuecBQ8wAIwxPxSR3cAfY3XE9gGHgE8Bf2tMEdPpWn6I1Sn7QqzJ8XxYHbcfAL5ljPnPKfK/0x4J6zPA+7FmOH8N+IIx5ruz/VxKqdlZ3RSk2udmKJ6mPjj98LOpTI50Nk+13017vZ9HDoa59+ljHA7HaAx5WFYXOGVCvkQ6R/dwghe7hvnKTw/wpzedpxPkKaWUUmVUEQEGgDHmceCGIrfdy6+Hj524/IdYQcZs8v8R8KPZ7KuUKq8da5v4wbPd9AwniKez0w4/G46mqA962L6mAY/Twb8/d5zO/jFaa3w0TDJ0rN/jZE1TkMORGIfCMR4+EOatFy2dy4+jlFJKnVMmn55WKaUWUMjrYveGZtrr/HRGxoinsqdtkzeG3pEE8VSWtlo/12xq5dmjQ/QMJxCgPjD1XQmHCK3VPvpjKfYeiJDN5efw0yillFLnloq5g6GUUhPdeskyeocTPHG4n47+MXxuJ7UBNw6H1ZdicCyNz+1kXUsVH9m1hvb6AA++2sdworjRp0JeF/m8oW8kQddQnFWNoXn6ZEoppdTZTYrv3qBmS0QG/H5//aZNmxa6KEotKgYYHksTTWbJ5vPkjAFjjRzldAhel4O6oAe/PexsOJpiOJ7G5ZBT+l1MJZXN43I4aKv1lTx0rVJKKVWJ9u3bRyKRGDTGNCxUGTTAmAci0oHV+bxzgYuyEDba7/sXtBSLg9ZVabS+iqd1VTytq9JofRVP66p4WlelKayvlcCoMWbVwhRHAww1x0TkWQBjzNaFLkul07oqjdZX8bSuiqd1VRqtr+JpXRVP66o0lVhf2slbKaWUUkopVTYaYCillFJKKaXKRgMMpZRSSimlVNlogKGUUkoppZQqGw0wlFJKKaWUUmWjo0gppZRSSimlykbvYCillFJKKaXKRgMMpZRSSimlVNlogKGUUkoppZQqGw0wlFJKKaWUUmWjAYZSSimllFKqbDTAUEoppZRSSpWNBhhKKaWUUkqpstEAQ82KiOwQkR+LyKCIxEXkJRH5pIg4S0zHTPN6cpr93iIie0VkRERiIvKUiNx25p+s/MpRVyKyVERuF5EHRKRTRFIiMiAiPxWRd0yxz54Z6vevyvcpiyci7SLyHRHpsT9Hp4h8VUTqSkyn3t5vvD567HTb5zrv+XKm5RWRoIi8R0S+LyL7RWRMRKIi8oyIfFpEPFPsN6vjciGV429rn1Om++y+KfbbLCL/IiJhEUmKyAER+ZKI+Mv3CcurDG1rpvPL+GtZwX6Lqm2JyC0icqeIPCYio3Y575llWiXX+WJqW+WoKxFpEJEPi8i/i8ghEUmI9T3/CxH5kIicdt0qIitnaFf3lu9Tlke52pXdhqb63H3T7FeWa7jpuMqVkDp3iMjbgB8ASeA+YBC4CbgD2AncWmKSR4G7J1nePUX+HwfuBAaAe4A0cAtwt4hcYIz5TIn5z5ky1tXtwGeBDuBhoA9YAbwDeJOI3GGM+dQU+z4C7J1k+S+KzLtsRGQN8EugGfgPYD+wDfh94DoR2WmMGSginQY7nfXAQ8C9wEbgA8CNIvJGY8yRuch7vpSpvFdgHSODWO3mh0A9Vhv8G+AdInK1MSY5yb4lHZcLaQ7+tl+aYnl2krwvw2qDbuB+oAu4CvgfwNV2/aZKyHvOlam+Opm6ni7AOje9aozpmmT9omlbwBeAi4AYVvk2ziaR2dT5Imxb5airW4GvAb1Y56xjQAtWe/oH4HoRudVMPkv0i1jnuEKvzKIcc60s7co2Anx1kuWxyTaeg2u4yRlj9KWvol9ANRAGUsAlE5b7sE6eBnhXCekZYG8J26+0D4oBYOWE5XXAITu9Ny50PZW7rrBOrrsnWb4J6+RigK0F6/bYy7+40HUxoUz/bZfp9oLlX7GXf73IdL5hb/+VguWfsJc/OFd5L6a6At4AvAfwFCyvAp610/n0JPuVdFwu9KuM7Wqv9bVYdL5O4DU7j7dOWO7AuiA0wOcWun7mqr6mSf+f7XQ+cRa0rSuBdYBMOKfeM9d1vhjbVjnqCiuAuglwFCxvxQo2DHBzwbqV9vK7F7oOFqBddQKdJWxf1mu4afNa6ErW1+J6AR+0G+B3J1l3lb3ukRLSKzXA+DN7ny+VUrazoa6myeebTHKhSIUFGMBquzwdk3x5VGH92jIGBGdIJwjE7e2rCtY57PQNsLrceS+2upohj3fbefxoknWL5iKwnHVF6QHGlMfxhHJ1ArLQ9TRfbQtowPoRKA7ULea2NUnZx8+ppV40l1zni7FtlaOuZkjz83aadxYsX8kiCzDKVVeUHmDMy3WJMUb7YKiSXWW/PzjJukexvlR2iIi3hDRrReSDIvJ5EfmYiGyfZf4PFGyz0OairiaTsd9Pe3zDtlZEPm7X7wdFZN0Z5jdb4/XxE2NMfuIKY0wUeBwIANP9/QHeCPiBx+39JqaTB35i//fKOch7vsxHeWdqN6Uclwup7HUlIu8Ukc+JyKdE5PppjtEpj3FjPaJ3EOtRxtXF5j0P5rpt/RbgBf7VGDM0xTaLpW2Vy2zqfDG2rbk20zmrTUR+x25XvyMiF85XwRaYV0Tea3/u3xeRK6fpSzFf1yXaB0OVbIP9frBwhTEmKyIdwHlYJ719RaZ5EfDtiQtE5EXgfcaYl0vIv1dExoB2EQkYY+JF5j9X5qKuTiEi1cDNWL86/GSKzd5jvybu9wPgI9NcAMyFKevD9jpwLVa/ip+fYTrY6ZQ77/kyH+X9oP0+2RcNlHZcLqS5qKvCTqFhEfmYMeb+WeS93n4dLjLvuTbXbevD9vs3ptlmsbStcplNnS/GtjVnRMQFvN/+71TnrGvs18T99gK3GWOOzV3pFlwr8L2CZR0i8gFjzCMFy+f8umSc3sFQpaqx30emWD++vLbI9L6C1amoCetW8aVYz5deBDwkIktnmX/NFOvnU7nr6hQiIlid3lqArxljCk8GEeBzWB0uq7Dq+Hrgeayg5EeTjcgxh8pVH7NJZ07/FnNgrtvOx4HrgBeA70yySanH5UIqZ139B9bz3+1Yd8k2Av/L3vc+Ebl+DvOeL3NWZhHZjVVnrxpjfjnFZoupbZXLuXDOmmt/BZwP/NgY898F6+LA/wS2YvXHrAN2Y3US3wP8XESC81fUeXUXcDVWkBHE+r7/BtZjYw+IyEUF289bu9IA4xw0w7Bmk71KGTpN7HdTzMbGmE8bY35pjOk3xsSMMc8YY27FGuGgESh1RKiS8p8xsQqqq0l8GWu0h8eA00aQMsa8aoz5a2PMK3bd9htjHsQ64XZgfcnfNMu850K5/nazSaes7WYezLq8Yg1r/FWskchuNsZkCreZg+NyIRVdV8aYO4wx/2WMOW6MSRpjDhhjPg98Guv78i/nKu8KciZl/m37fcq7F2dZ2yqXc+GcNWsi8gmsY3A/8L7C9caYsDHmfxhjnjPGDNuvR7HuCj0FrOXXd9bOKsaYLxljHjLGnDDGxO3v+9/FCuT9wBdLTLJs7UoDjHPTYeBACa+eCfvOdIegumC72fq6/b6rYHmx+Y+eYf7jKrKuROR/A3+A9czkDaaEoQqNMaPA9+3/FtbvXCpXfcwmnflqt+UyJ+UVkbdjPf4TBvaYgqF8izDVcbmQ5uNv+w9Yz32/QUSq5jnvcpurtlWPdWc0wemPaxSjEttWuZwL56w5ISIfA/4P1ohaVxpjBovd1xiTxTp24exsV9M502uoM25X2gfjHGSMufoMdj8AXIL13OezE1fYz0iuwvoiLvXCpVDEfi+8rXkA61eu9cATBfkvsbfvLlf/i0qsKxG5A/gk1u3ft8zys05Vv3PpgP2+for1453Pp3rm+EzSKVfe86Xs5RWRW7ECyz7gKmPM6zPsMpmFaDczmfO/rTEmKSJRrEcvgsD44AKLrV3B3JX5NqzO3d81xgzPolyV2LbK5Vw4Z5WdiHwSa26GV4CrjTHhWSRzNrer6YzX1WTXUPNxDad3MFTJHrLfr5tk3S6skTB+Wcov6lMYH02jsJFPl//1BdsstLLWlVj+L1Zw8VPgxjMIpKaq37n0sP1+bWHfD/tX4Z1Yv37ONJvvk/Z2Owt+TcZO99qC/MqZ93wpa3lF5N1YcxP0YM2nMpvgAham3cxkzv+2IrIBK7iIAv0TVk15jIvIaqwv8aOcG/X1Efv9m7MsVyW2rXKZTZ0vxrZVNiLyWazg4gWsOxezCS7g7G5X03mj/V7KNVQ5r+F0Hgx9lfbCun0WoYRJWuwGuxFYXrB8C5OMtQ5ciPUlboB3F6xbxeKaaK9cdSXAt+x9fgz4ish/JwVjrtvL3wvk7XKtLPVznWGdlDrZ1EZg4yTpjE+09+WC5efsRHvT1NVtQA7ri2ZFEfmWfFwu9KscdYU1asrSSdJunHC8frNg3XSTof0rFTgZWjnb1oT1V9j7vXy2ta2Ccu5hmvkKsGbc3gisKUOdL8q2Vaa6+hN732eA+iLyuoyCyUTt5VdhXS8YYMdC10m56wprtKfT6gdr+OLX7TQ/X7Cu5OuS2b7ETlipotnPcd+PdeDeizXN/Fuxhj+7H/hNM6FhicgerF9wHjHG7Jmw/G6sGaofArqwGvxGrMjaiXVB/TumoJGKyO3A32IFGfcBaeAWrJFfvmyMqZhOgmWsqz/F6qyVwOqgm54kuxeMMT+csE8n1pfRL4FurBPIpcA2rFugHzHG3F2Oz1ksEVljl6cZa8SefVhfDldi3erfYYwZmLC9ATDGSEE6DXY667Haz6+wZjV/G9at4R3GmMMF+5SU90IrR12JyJXAz7DawXewjrNCw8aYr07Y525mcVwupDLV1W9hPa/9CFbfq0FgOXAD1vPKzwDXmILHf0TkMqy6cmMd08ewRnW5BGt+g6tNOX4NLKNyHYcT1n8P64eLTxhj7pwm37tZfG3r7cDb7f+2Am/GCtYfs5f1j3/niMhKrAE0jhpjVhakU/L5Z7G1rXLUlYjcBtyN9aPInUzeF6Bz4neXPRTteVgTZXbbiy/k13M+/Ikx5s9n/8nKr0x19UWskSIfttdHgTXAjVjf9z8GfsMYc8r1QqnXJbO20JGbvhbnC+vX8R8DQ1gXvS9jdTp2TrLtHiaZvRXr4Po3rDsPo1gXzb3Aj5jwi80U+d+EdSEQxZoB9Wmssa4XvG7mqK7utpdP97q7YJ/PYj1K1WXnm8S6cLoLuGgB62OZXYZe+29+FKsT32S/xBimmFkZqLf3Ozqh7XwHaC9H3pXwOtO6wpr0bKZ201mwz6yPy0VeVxfYx9nLWD9eZLC+eB8DbmeSX0gn7LsZ61flfqyL5oPAlwD/QtfLXNXXhHV19vklDtTOkOeia1tYP+wUdfzw6xmlO6dIq+Tzz2JqW+WoqyLSmOz78UPAf2HNah2z6+kY1g+QVyx0vcxhXe3GevR1PzCMdc6KYH3vv59pZnmnhOuS2b70DoZSSimllFKqbLSTt1JKKaWUUqpsNMBQSimllFJKlY0GGEoppZRSSqmy0QBDKaWUUkopVTYaYCillFJKKaXKRgMMpZRSSimlVNlogKGUUkoppZQqGw0wlFJKKaWUUmWjAYZSSimllFKqbDTAUEoppZRSSpWNBhhKKaWUUkqpstEAQymllFJKKVU2GmAopZRSSimlykYDDKWUUkoppVTZaIChlFJKKaWUKhsNMJRSSimllFJlowGGUkoppZRSqmz+P1fao7qIqDyUAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 396
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_mixtures(X, mu, pi, Sigma, r1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Implementation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "def e_step(pi, mu, Sigma):\n",
    "    responsibilities = []\n",
    "    for i, _ in enumerate(mu):\n",
    "        resp_k = compute_responsibilities(i, pi, mu, Sigma)\n",
    "        responsibilities.append(resp_k)\n",
    "    return responsibilities\n",
    "\n",
    "def m_step(X, responsibilities):\n",
    "    N, M = X.shape\n",
    "    pi, mu, Sigma = [], [], []\n",
    "    for resp_k in responsibilities:\n",
    "        resp_k = resp_k(X)\n",
    "        Nk = resp_k.sum()\n",
    "        # mu_k\n",
    "        mu_k = (resp_k[:, np.newaxis] * X).sum(axis=0) / Nk\n",
    "        # Sigma_k\n",
    "        dk = (X - mu_k)\n",
    "        Sigma_k = resp_k[:, np.newaxis, np.newaxis] * np.einsum(\"ij, ik->ikj\", dk, dk)\n",
    "        Sigma_k = Sigma_k.sum(axis=0) / Nk\n",
    "        # pi_k\n",
    "        pi_k = Nk / N\n",
    "        \n",
    "        pi.append(pi_k)\n",
    "        mu.append(mu_k)\n",
    "        Sigma.append(Sigma_k)\n",
    "    return pi, mu, Sigma\n",
    "\n",
    "def gmm_log_likelihood(X, pi, mu, sigma):\n",
    "    likelihood =  0\n",
    "    for pi_k, mu_k, Sigma_k in zip(pi, mu, Sigma):\n",
    "        norm_k = multivariate_normal(mean=mu_k, cov=Sigma_k)\n",
    "        likelihood += pi_k * norm_k.pdf(X)\n",
    "    return np.log(likelihood).sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 396
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Initial setup\n",
    "mu1 = np.array([-0.2, 1])\n",
    "mu2 = np.array([ 1, 0.3])\n",
    "\n",
    "Sigma1 = np.identity(2) / 20\n",
    "Sigma2 = np.identity(2) / 20\n",
    "\n",
    "pi = [0.5, 0.5]\n",
    "mu = [mu1, mu2]\n",
    "Sigma = [Sigma1, Sigma2]\n",
    "r = compute_responsibilities(0, pi, mu, Sigma)(X)\n",
    "\n",
    "log_likelihood = gmm_log_likelihood(X, pi, mu, Sigma)\n",
    "plot_mixtures(X, mu, pi, Sigma, r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 396
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "hist_log_likelihood = [log_likelihood]\n",
    "hist_coeffs = [(pi, mu, Sigma)]\n",
    "hist_responsibilities = [r]\n",
    "\n",
    "threshold = 1e-9\n",
    "while True:\n",
    "    responsibilities = e_step(pi, mu, Sigma)\n",
    "    pi, mu, Sigma = m_step(X, responsibilities)\n",
    "    log_likelihood = gmm_log_likelihood(X, pi, mu, Sigma)\n",
    "    \n",
    "    hist_coeffs.append((pi, mu, Sigma))\n",
    "    hist_responsibilities.append(responsibilities[0](X))\n",
    "    hist_log_likelihood.append(log_likelihood)\n",
    "    \n",
    "    if np.abs(hist_log_likelihood[-1] / hist_log_likelihood[-2] - 1) < 1e-9:\n",
    "        break\n",
    "    \n",
    "r = responsibilities[0](X)\n",
    "plot_mixtures(X, mu, pi, Sigma, r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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EKUWgroalW86kerEM2/I4HXickliI04MkGEIIIcQ846iuRrnd6HwebdsoY+JhNHY2i3K7cVad/NP2UxHr6uO539zFSM8A2XgCs1AEwOX1cPDR7TQsX8pZN11LoE6W0hXidCAJhhBCCDHPuBob8K5eRbG3FyteWp52PNq2MWMxPO3tBM47bwajLIl0dPP4935BrKuPYi6PrzpMIBhAoymks8QO95CJjZKOjnDhu95IsF7qPQgx18nMICGEEGIeCl16Kc6GBoqDg9i53JhttNYU+/sxfD48bW14JpkQXmmFbI6nfvxbop29GA4H9cuXEqyrwR3w4Qn4CTXWUde+FLNQYPhQF0/9+L/GrC0hhJhbJMEQQggh5qHA1q0Ezj0HV3Mz+Y6O0sRv0wRKiYWVTFLo7MTO5fAsb6f2LX8xbuXp6dL9zE6SQ1G01oSa6sc8v+EwqFrcRCGTZaS7j+H9nTMaoxDixMkQKSGEEGIeUg4HDe96F8pwkH7qScxIlNzevWAYYNulORd1dbgWNdPw7nfjXbFixmM8/NTzZOIJArVVEyY3hmHgqwqTiSfofOo5Gle3z2CUQogTJQmGEEIIMU8ZHg8N730PoUsuJvnAg2ReeAFtmiilcDbUE7r4YoIXXogjHJ7x2KyiSWo4ipnL4w74J23vCQWI9/STGBiegeiEEKdCEgwhhBBiHlNK4duwAd+GDdj5PHYmg3I6MYLBGR8SdTTbNEvzKZSaUhzKUKWhXebsLaUrhJgaSTCEEEKIBcLweDA8ntkOAwCn14PT7UYphVUs4pikIKCZL+BwufAEJ+/tEELMLpnkLYQQQogZp5Ri0frV+KqCZOPJSdtn4wl8VSFaNqyZgeiEEKdCejCEEEIIMSvaz9vM4aefJ3a4F0/Qj8vnHbNdLpnCzBWoaV3E0rPXc7h7mB3Pd9A3OIJZtPD53Kxe2cJZG9qoCksPhxCzTRIMIYQQQsyK6tZm2s7dhFUoEO8dxF9bha8qhOFwAKWJ4Nl4gmwiSU3rIpZcdB4//d3TdHYNM5rIkMnmsbXG6TA40DHAI0/s4fwtq7j84g2zOr9EiIVOEgwhhBBCzAqlFJteexXatul88jnSsTjRjm4MZ+n2xDZNvKEQtUsX03bp+Tzak+Jg5yCJVJaqkJ9FTTUYhqJYtBhNZhjpHiaXL5IvmFx7xWZJMoSYJZJgCCGEEGLWGA4HZ910LS3rV9P51HMM7j2EVSiCUri8blo2rKHtvLO4/4UeOrq6yGQLLF1cj8Px8jRSp9OBz+cmk80zMBjnyR37Wb6skbWrFs/ilQmxcEmCIYQQQohZpZSied1KmtetJJdIkUumUIaBryqE2+9jNJFhz/4nGBlNvyK5OJrf56GmOkAsnuLpZw9JgiHELJEEQwghhBBzhjccxBsOHvPZ87sOM5rI4Pd5cDodE+4fDvmIxVMc6hokNpKitiY4YfuFpGDaFCwbr9PAOU6SJkQlSIIhhBBCiDltJJ4mXyji901ew8MwDLweF4WCSSwuCUbBtHmqM8a9ewY5NJzG1hqHoVjfUsVlaxvZ1FqNw5C5KqKyJMEQQgghxJxma0256PcUKdCUKoUvYIOJHF/40z4ODCWJpAqkciZKlX4uXbEMT3XG2NRaxd9cvoqQd+JCh0KcCEkwhBBCCDGnhUM+PG4nuVyRUNA3YVutNflCEZfLQTi0cGtixNIFPnPnbl7sGyWdt2gMeWir82MohWnbjKSLHI6mSeWL5E2bj127Dq9r4uFnQkyVDMATQgghxJy2Ye1SQiEfyXQW27YnbJtK5/C4nbS21NFYH56hCOeenz/dxd7BJPmizarGILUBN0a5C8hpGDSEPKxqDBJLFXi+Z5Q/vNg/yxGL+UQSDCGEEELMaY31YZYvbSIY8DI4PDru0KdCwSQSS1JTFeTsje0Ltg5GPFPgqY4YkVSepbX+cedYuBwGS2r8DCZyPLhvGNOaOHkTYqokwRBCCCHEnHftFZtZ0lKHAnr6oiRT2ZcSDdO0iI2k6B2IUV8bYv3aVjaesWx2A55FT3bEiKYLBN1O3M6Jb/UCntKwqL54lt39iZkITywAMgdDCCGEEHNeXW2Iv7j5Yn7+28cYHIozmswwNDwKSqGAUNDH4uZaNqxdwg3Xbh23VsZCEEsXyBct/J7Jb/OUUgTcDnKmTTRdmIHoxEIgCYYQQghxmin09pE7cAC7UMDw+/GvW4uztna2w5p2zY3VvOe2q9i5p5sdz3cwMBRHa43L6WDVikWcvXE5y1rrF+zQqCMMBSg15VW0NKBAlqsVFSMJhhBCCHGayOzcSfyuu8nu3oOVTKItG+V04giHCZy1iZrrr8OzZMlshzmt3C4nZ53ZzllntmOaFqZl43Y5MeTm+CVNVV78bgeRZJ6mSea521qTzJk0hDw0hb0zE6CY9yTBEEIIIU4Do/fdT+THP6HQ14+VTuEIhVBOJ3YmQ6G/j+LAAJkXd9L8nnfj37B+tsOdEU6nY9LK3gvRuW11NIa66B3Jki1Y+Nzj/4xGs0XcToO2+gCrGhd2UUJROQt3gKIQQghxmkg/+yyRH/+E3IGDGF4vvjVr8CxZgnvRIjzLluJbtRqtbXL79jPw9W+Q7+2d7ZDFLPK5HVy8qoFFVV46o2kK5tirQ2UKJn3xLIuqvFy5rmnBDy0TlSMJhhBCCDGHaa0Z+e//Id/Tg7O+DldTI8px7BNp5XLiXrwY5XFT6Oll9A93z1K0Yq648exWzlpaQ33Iw76hJL3xLJmCScG0SeVNumIZDkXStNb4uWR1A9tWN852yGIekSFSQgghxByWO3CQXMdhdC6Hc1nbuO2UUriamsgdOEBqxw5q33ATzvDCLTQ306KpPA/vj9Abz2JaNtV+N+e217KmOTQrPQNel4MPX7OGbz54iO2HY0RTBbpiWSxb43QoavxuWqp9XL62kb84b5nMYREVJQmGEEIIMYdld+/GGh3FUV2NmuQm0HC7MXx+rHic3L79BLdumaEoF65U3uSHj3XyxKEosXSBdN5Ea3A7De7eOUB7fYC3vGoZa5pnPtnzu5184MrVHI6muW/PEPuGkuSKNn63g42Lq9i2ppFGmdgtpoEkGEIIIcQcZmezaMtEud1Tam+4XGjLws5mpzkykcwV+b937uG5njiDozlCPidhvwtDKbIFi4PDKfriWfpHs7z/ytVsbK2elTiX1QW47cL2WTm3WJhkDoYQQggxhxleLzgcaNOcUnttFsFwYPjkyfR0+/ZDh3i2O04sXWB1c4hldQFq/G6qfC6aq7ysXRTC7TTYN5jiq/cdICaF7MQCIQmGEEIIMYd5V6/GGQ5jxeOTFk7TxSJWOoOzKox3xYoZinBh6hnJ8EzXCEOJHMvrA7idr7ylMpSipdqL01D0x7Pcv3doFiIVYuZJgiGEEELMYb61a/AsXYpyuTFjsQnbFoeGcVZXEdi8GWdNzQxFuDA9uHeYaKpAdcCFa4zk4gilFA1hD9FUgYf2DWPZU6uuLcTpTBIMIYQQYg5TSlF9/XW4WxdjDg1TjETQ9rF1DbRllQvwpXEvXkzVNVfNUrQLR0ckTTJnUu2bfG5MwO3A0ppIKi/DpMSCIJO8hRBCiDkudO45mJEI0V/+ikJvH+bQMI7qKpTDiV0sYCUSOIIhfKtW0vj2t+Fta5vtkCuiO5LkqX2DjKRyKBT1VT7OX9NMY7V/tkPDtG1srTGm8KhWKYWhQGsoWmMXvRNiPpkzCYZS6mbgUmAzsAkIAT/SWr/lBI5RB7weuB44E1gMFIAXgO8A39Fa28ft0wZ0THDYn2mt3zjlCxFCCCGmQc111+JqbCT+h7vIdXRgJRJoy8bw+nA3NeE74wxqXnM9vlUrZzvUU9YXTfGzh/ZxoC/OSCpPvmgB4PM4uHvHYTYsq+PPL1lNTXD2JrIHPS5cDoN80cY/SSeGZWtMq1R/IuiZM7deQkybufS3/BOUEosU0AOsPYljvAH4GtAP3Ad0AU3AjcC3gGuVUm/QY8+Sew74zRifv3gScQghhBAVF9y6hcCWs8kfPETuwAHsQgHD78d/xhm4WxbNdngV0TWU4Cu/e46OgVGS2SLVATdVATdaa1K5Ivv74kSTWfpjaf72tWdRG5qdJGNrWw2PHYwwnMpTE5g4wxjJFAh5nZyxKEzY55qhCIWYPXMpwfg7SonFAUo9GfedxDH2ATcAvzu6p0Ip9XHgSeAmSsnGL8fY91mt9e0ncU4hhBBixiil8K5cgXfl/FslKl+0uOOuFznQF0cBq1uqj6kwXRXw0FRt0z2cZE9PjG/d9SIfuWnLrFTKPn95HT9/qpv+0SyxdIHacZKMgmkzlMjTVufnsrVNMxylELNjzkzy1lrfp7XeP07vwlSPca/W+r+PHwaltR4Avl5+u+0UwhRCCCHENNl+YJDeaIqiadNaHzwmuTjC6TBY2hgimS1waGCUvb0jsxApeFwObt7aSnt9kIHRHP3x7DHzK2ytGUkXODiUoins4exltZy9bG6s7KW1ZjiZpzuWIZLKT7r8sRAnai71YEy3Yvl1vEpFLUqpdwN1QBR4TGv9/IxEJoQQQgge2dVHLJmjPuydsFfCYRjUBL3Ekjke2dXH2tbaGYzyZZetbSJTsPjZk10MJvLs7U/idTlQCvJFG6/LoLXGz5a2Gv768pU4xkiYZlIqb/Lw/mHu3ztEbzyLZWuchqK11s9laxq5aGUDPrdjVmMU88OCSDCUUk7glvLbP4zT7Kry19H73Q/cqrXumuJ5to+z6WTmkwghhBAnxTYtRl7YydATT5MbjoIGd3WYhnPOou7szTg8ky+tOtNMy6YnkiKdN1naGJq0fZXfTedQku7h1AxEN77rN7awqjHEPbsHebozRjpvogG302B5Q5DL1zZywcp6XI7ZHTTSHcvw+T/upSOSJpLKU7RsHIaBadt0RjPsHUhyz+5BPnDlapqrfLMaqzj9LYgEA/g0sAH4vdb6ruO2ZYBPUprgfaj82UbgduAy4B6l1GatdXqGYhVCCCFOWvLQYfb/4Kdk+gYojMQxcznQ4PC4ib2wC99/30X7n7+euk0bZjvUY1i2RmtQlCpgT8YwFLbWFExr+oObxOrmEKubQySyRfpHSz0DVT43LdUT98TMlOFkns/evYcXe0cpWjbNYS8hrxOlFFprEjmTgUSOZK7IZ+/eyyeuP4PqyZbGEmIC8z7BUEq9H/gQsAd46/HbtdZDwD8d9/GDSqmrgYeB84B3Al+c7Fxa6y3jxLAdOPvEIhdCCCFOTPLQYXZ99dukOg9jmyaemmq8TQ0oFGY2Sz4aIzccpfgfP2T1bW+m7qyNsx3yS9xOA095eFHBtHA7Jx6qky9auBwGwRlYlSmVN3n0QISuaIaCZRP2OtnSVsva5tAxCUTY55qTq0T9ckc3+wdTWLZmRUPwmAROKUWVz0XQ4+RQJM3egST/9Vwft7yqbfYCFqe9eZ1gKKX+mlJisAu4Qmsdm+q+WmtTKfUtSgnGJUwhwRBiOmitseJxrJERrGgUa3QUO53GzmSwM1m0aaItE0wLHAbK6UI5HSivFyMQwAgEcFRV4aytxVFbi6O6GjWVylBCiFNmF4pYo3G0ZeEIhXEEpq9AnG2a7P/+T0h1HsZwOQksbT3m5tftduEKh8hHoqQOd3PgR78gtLwNd1V42mI6mmnZ7D4c4dGdPXQNjVIs2vh9Lja0NfCq9a0srg9xZns9XZEkI6k8TZMU0xtJ5akOeNjU3jBtMRdMm/98upsH9w0xnMyTypnYWuNyGNz5Qj/tDUHeeO5SNiyumrYYTtVopsBTHTGi6TyrG0Pj9g45DMWSGh8Hh9M8ejDCG7YskfkY4qTN2wRDKfUB4POU6lhcUe6pOFHD5ddAxQITYgzasigc7qJw6CCFzk7yHR0Ue/so9vdh9g+gC4XKnczlwtXUhGvRIlyLF+Nua8Pd3o5nxXLcbW0o57z9Z0GIGVMYGCD54EOkHnscK5EANMrlwn/mmYQuuRjfhg0VHzoTe+5FMv2D2Kb5iuTiCKUUnvo6zGyOfDTG8BPbWXz1ZRWNYyyR0QzfufM5OgbixJM5UtkCttY4HQYd/XEefqGb889YzKvWtvD47j4ODSao8rvxusf+9yiVLeJJz/kAACAASURBVJLKFWmpDXLBuump/1Ewbb7wx7080RGjdySDz+2g2ufGMCBXtDkUSdMXz9E7kuE921Zy3vK6aYnjVG3vGiGWLhBwO3E7J3645HU58DgNIsk8z/XEOX+OXpOY++blnYRS6qOU5l08C1yltY6c5KHOL78emrCVECdAa02ho5Pss8+Sff45crt3k9+7D53LzUwAxSLFnh6KPT3w1FPHbFJuN57Vq/GuW4t340b8mzfjXrFCejyEOAHJRx8l8v0fUhwexorFQClQCm2aFHr7SG3fTuiCC6i/5RYMd+WG0ww/sZ38SBxPbc2EyYtSCk9tDdnBIYYef3raE4yRZI6v/nY7+7qjpHNFakNemmoDOAxFoWgxkspxqD9OrmCSL5ict2YRuaJF51CSxiof1QHPS8vVmpZNPJ0nkshRG/bh9nm44/4DKEPRFPZy0epG2huCFUnefvpkF08citE3mmV5Q/AVT/Mbwx4GEzn2D6W448GDLK7x0VozfT1UJ2s0W6Rg2VPujfC5HRRMm3imgg+2xIJzWiYYSikXsAIoaq0PHrftH4F/AbYDV082LEopdR7wjNa6cNznl1Mq/gfww0rFLhYerTWFzk4yjz9O+rHHyTz5JFY8PtthjUkXCuRefJHciy/Cf/4CACMcxr91K4HzzyfwqvNxr1w5JyYtCjEXpZ5+muHvfJf8oQ4Mvx932zIMX2lFHm2amCMj5Ds60Pk8AA3veHvFfp+ywxGsbBZ/c+OkbZ0BP3a+QD4exy4WMVzTN2/gVw/t4WBvjHzRoq25ilTOpDuapmCWaka4nQbVIR99kSRP7u3jrVedSdFq4cl9A0QSWYZGs3hdDjSQL1i4XQ4sFKNFTXwozbP9pVWk/G4H9+0aYPWiMO+4dBWN4ZOv8J3IFnlo3zC9IxmWN74yuYDSRPRFVT5MK0P/aI57dg9y6wXtJ33O6eIwFIpSXY6p0FqjFDgX0IOlomWz/fAIjx6MEEsXcChFY9jLpasbWN8Slv/zTsKcSTCUUq8DXld+21x+fZVS6rvl7yNa6w+Xv18M7AYOA21HHeNWSsmFBTwEvH+MvxSdWuvvHvX+M8D68pK0PeXPNgKXl7//R631oyd7XWJh0sUime07SN13L8n77qfYNaWVjuckO5Egde+9pO69FwDnokWELttG8LLL8Z93LoZbVhoRAkrzLaI//Rn5zk4ctbW4GuqP2a6cTlwNDTiCQfKdnSQffZTgq87Hv359hQLQoKG0DtPEVLlXBa3R9vQVWYuMZtjZOcxIKkdzbYj9AwlyRYuCab90w+tQCpfTwFDQF0nzxO4+3vf6c9i8vIGHd/Wxv2+EQtECFEXLJpI1sRQkTajzOagNOtFak8yZHBhMMpzME0nm+fvr19NUXm7VtjUv9I7ywN4hDg6nyBctAh4nm5ZUc/naJlprj+15eHj/MJFUHr/HOemT/8aQhwNDaR47EOUNW5fgH2dY12xZXO0n4HHSM5KlOawnvFnWWpPImtQFPbTWLoylap/rjvOdRzroi2eJpvPky4mv3+3gkQPDtNUHeO+lK1lSO/d6p+ayufRbsBm49bjPlpe/oJRMfJiJHXl04AA+ME6bB4DvHvX+B8DrgXOAawEXMAj8HPiK1vqhKcQuBNq2ye7YwejvfkfyD3dhjcxOddnpZvb3M/LjnzDy459ghMOErrqSquuvx3/eeSiHTAgUC1d6+3aKA4OgFM768ceuGz4fzrp6zEiE5IMPVSzBcNdU4fC4MbNZ3K6J60iYuRzK4cAVCFR0mNbxtu/rJ57K4XI66IqmSOctNBq3w8BhlP69sGybXNFCocjkTF7ojDA4kmLrqia2rmpiKJ5hJJUnWzD52n37yeZS+P0OWqp9x9wsB70uGsNeDkfS7Okb5Wv37OOfX7+RWLrAV+7dz56BBNFknkR5orbTUOwZSPCnXQNcuqaRWy5of6lWRWc0QzJXpNo/+c/G43LgcihGs0X64zlWNAan54d5kja1VrG4xk9vPEsybxL2jn9N8WwRl9OgrT7AmqbJa5Gc7rYfHuFL9+yjI5LGtjX1QTdNodKtcSJXpCOSZiiRJ57ZzcdevZaldTIld6rmTIKhtb6dUu2JqbTtZIxHNCdyjKP2+Tbw7RPZR4ijFQcGiP/qV4z+8lcUe3tnO5wZZScSjP6ydO3Oxkaqbnw91TffjLu1dbZDE2LGpZ9+GmtkBGdt7aRDKpy1NeT27iPz3PPYmQyG/9SfjtZv2czIi7spxEZwhye+OSzE4nhqqqnfunlah3/EEjky+SKJnEXOtHEYCo/Tccw5HYYDl8Mgb9rkLegcSvK7Z7opakW+aOFzOzmjtZqRTJFYpoih1CuSi5ePpVhWH2DfQIJDQ0mePBThVzt6eb4nTjxbpD7oYVWVD6ehyJs2sXSefYNJMgWLTMHiry9bhWEoCqaFrZly5W3HkZocll2xn12lOB0GV6xtpCeWoSuWob1ejdnLksqb9MaztNcHuWpd07wfFjSaKfCNBw5wcDhF2Ouk+bjq8T63g4aQh65Yhr0DCf79vgN86saNs16N/XQxZxIMIU4nWmsyTzxJ7PvfJ3X//WDPvf9UZpo5NET0698g+vVvELjwQmpvvYXARRfJBHGxYFijCexCHqdv8mVTldOJcjjQxSJWOl2ZBGPrZrp/dze54Si5SAxvfe2Y7QqJJMVkitCKNhpfde4pn3cy2YL10o23x2mMu7qV22GQNDVZ0+Bnj3fidjmx7FK16Qd29zOYyJEp2LRNMonbYSjqgh6iqTxfu+8A0XSBdMFidXPomHkFPreDxW4/tQE3HcNpHjkQYWNrNZeuaSToceFyKPJFGyYZKaS1Jm/apZocnrl5W/XqDYs4NJzmgf1DHIpkCLod1ATcuByKgqmJZQpkCibL6gJcua6JbWsmn8dzuntg/zCDyTwuh/GK5OIIQymW1vrZO5DkcCzNcz1xzl5aMwvRnn7m5m+CEHOUNk0Sd95J9DvfIb9r92yHM2elH3mE9COP4F6xgtrbbqXqta+VuRpi3lNOByhjynMatNagVMWScKfPR/sbXsv+7/2E1OFurGwWT20NDn/pab+Vy5GPxSkmUwSXtbL0+mvwNU1fDQmA2rCXvKUpmjY+j3PcxEBrSNqKvHKgUcTTBVYs8uJ0GBRNm+FEjkgih60hmS0Q8rkmTDLCPheHhlLECylMrVndFB530rLP7WRRtY/B0Rz37hnkktUNnL2shj/tHqA7lqE+5J7wXMmcicthsKTWT2vN3Jy34DAU7922gpqAm/v2DBJJF4ikCqUEzmFQ43OxoiHINeubuenssZc4nk+01jy4b5hoKk9L1cTV1g2lqA96iKQKPLB3SBKMKZIEQ4gp0KbJ6G//i8jXv06xu3u2wzltFA4eZOAf/4nIv3+Vune9k+o3vEESDTFvuVpacAT82MnEpAX17EwGpRSOqiocVZUr0la/ZTPatjn001+Tj0bJ9A9gF01QoAwHnpoqQivaWHLd1bRcta1i5x3P2auaAYWlNRONLMnakLFAozDQBNwOagKel7aHfW5Gy7UvIskcfo+LmqBn3OMZSpE1bbQNNQHPpPUfqvwu+uNZDg6l6Iym2bSkmiU1fvpGskRSBRpCY5/LsjX98RxNVV62rWmY0zfmTofBW85fxms2LuKh/RH2DCTIFiz8bgdntIS5eFUDoQnmZ8wnedMmksqTL9pT6nUK+5xEUnn6R2doOfl5QBIMISagtSZ5190Mf/7zFA4fnrU4lMuFo6EeZ025GncohBHwY/j9KLcbHA6U4UBrG0wLXShgZ7PY6TRWKokVG8GKxTCHhytbtG+KzIEBBj/5r0S//W0a3v9+qm64QYZOiXkndNGFJB94kNyhgzgbGiZc9MCMRHHW1RK64FUVL27ZcM7ZhFcuZ+ixpxh+YjuFRAK0xun3U7/1LJouPBdf0/QOgTEtm12HIxzsj6NLS1uRyRcJeFwYx/3uaw1pC0wNTlUaLnVknyMchsLtdGAoi1zBIprMUR0Yv2chWzRRSmEDQe/kP19DKfweJ7miRSSZp70+yBvOWcJgIseBoRRF06Y+9HKiorUmlTPpG80R9rk4Y1GYS1afHsOKqv1u/temFv7XppbZDmXWWOUV11T579tkFAp9ZD8xJZJgCDGO7AsvMPh/Pk12x46ZOaFh4F7ejnf1atxt7bjb23EvXVJ6KlpXV5Ebcq01VixGsa+fYncX+Y4OCh2d5PftI3/oEJhmBS5kfGZfP/0f+wdGvv8Dmv7hY/jPOWdazyfETPK0l35/zWiUwuHDuJcte0WSobXGHBrGzuVwL11K6JKLpyeWmmqWXHcVrddeiZ0voLWNwzvxUJBK0Frz0Is93PtcFwPRFIlsoVTvQmssq1RfwuMy8LicKFVaPjZjagq2gVIGTkOhFLiO+7kpVeplyBRMCkWLTL5ItmDi94z9xD2WKuB3OzCnsGTvMfEf9f257XW87SKT7z3SyUAix/7BJB6XA0NBvliasN4U8nBGSxUfuGr1lAvZidnndzvwuUuLDeSKFl7XxH92mYJVqtcyhVXFRIkkGEIcx0okGPrs54j//OfTeh5nczP+LVvwbdqEb9NGPGvWYHhPvjDUVCilcNbV4ayrw3fmhmO22YUC+f37yT3/PNlnnyWzfUep2vc0yO3axeG33kL4Na+h6eP/gLN27MmoQpxOlFI0vvPtmCMj5PbsIbd3H86aaoxwqVCXnc1ixmKgDDzL22m47RZcDdM7B0IphcM7/lCiStJa88uH93HPs4fpi6bQGqoCbqoDHoqmTdG0UGjyRYuiaaOUwlBgGc5ScuFQGIbCaSiqAq8cSlkX9BBLFciX62hkC9aYCcZIutSmNuzD1KXVkeomGE4FpSJ0mYLJoirvMW0vW9vE0roAf9w5wNOdMZLlJW7dDoPFNX4uXdPAZWsb51ztCzExpRTnttfRGc0QTRdYXD3x3JloOk9dwMP5y8dfflocS34jhDhK4u67Gfzkv2IOD1f82MrnI3DhBQQvuojA+efjWrZsTo3XNdxufOvX41u/npo3vQmAQk8vmccfI/XwI6Qfegg7na7oORP/8z+kH36Ypn/4GOEbbphTPw8hToazro6Wj3yIoW//B7m9+zBjMYoDA6BLv2PuRYtwNTdT9+Y3Edi8ebbDraiHX+zhnmcP0zWUoLkmQNhfGsJUHbDJ5E1S2VJSYdmlYm8+txOP20HRcGLlNTYa29a43E5qgq982BJwO6kLesgVTfJFm3i6QJXfjbNcuyJftIim8oxmi7Q3BLnxnKX85tl+dvWNUrTsl2pcjCWRLeJxGrQ3BGmvP7bWwYqGICu2rSSRLdIzkqFoaYJeJ+11AQxZsnTa9Yxk2H54hESuiMswWFrnZ+uy2knn1Uzm8rWN3LtnkH2DpWVqx5t/EknlKVg2DSEPF66sH7ONeCVJMIQArNFR+m+/neSdf6jocY1QiNDVVxG++mr855+P4ZmZJ4mV4m5djPvmm6m++WZ0oUDm6adJ/PGPFS0kaMXj9H30Y4z+/ve0fOpTOOvkCZE4vTnr6lj0kQ9TOHyY5EMPU+jvB9vGEQ4TOPccAps3V3zexWyzbJv7nu+mL5qiuSZA1VETtF1Og6YaP7bWZPMmhlGq3l0V9LK0MUxPPEskm8O0dakeQU0A11g3jwpaa/3EUjkchsbSmr39CVxOA63BtDW1ATcrm8L82XnLePXGxXTHcwwlcxyOpmmvD45ZwyBXtOgbybK0zs/laxvHfdAR9rk4w1e5CfliYh2RFD9/upudvaOMZIoUTBtDlebULKryccW6Jl6zseWk61Isqwtw/ZktFMweOqMZ6gImdUctCJAtWAyn8qTzJssbgrzl/GXSU3UC5CclFrzMjmfo/fCHMPv6K3NAh4Pgtm1Uv/51BC65ZN6smqTcbgIXXEDgggto/vjHST/2GKO/+Q3JP/4JXSye8vHTDzzIode+jpbPfJrghRdWIGIhZo9SCk9bG562ttkOZUbs7oqWh0Vpwv5X/ptXHy4NQRkYSVMoWmQLJgMjKdK5IhgKl8PABhqr/dSFxh8qWjAtXA6Dlc1BNrXVs6c/Qd60UIDf4+S8FfVsW9tMW0Opmvabz1tG53CaF3pH2T+YpD7oodrvwmEoCqZNNF1gpDxE5lUr6rl41fQOWRNTs7NvlC/8aR+dkTSj2VJFdZ/LgWVrBkZz9Maz9I/m6IpmeO+2FS/1Yp2oP9u6BFtrfv9CP5FUqeiiYSjKK0hTF3CzuCbELa9qk78bJ0gSDLFgaa2J3vEthr/4RbCsUz6es7GRmje/iaobb8TVeHqsJnKylMtF8JJLCF5yCebICKO//g0jP/rRKVcytyIRut/xTure9S4aPvC3E67CI4SYOzoGRklmC4T9nnF7AOrDPkI+N7Fkjr5YCoehaK7101wTJK0NDkXS5EwbjUaNMTnb1pq+kQx1IS9XbGjh1ktWkcwWiWcLGEpRG3DjO+4Jc23Aw99fu44v3bOPA4NJIqkC/aNZtNY4DIPagJtVTUEuWFHPOy4++RtVUTnDyTxfvmc/eweSeJ0GZywKH9NL0RjykMqbdMUyPLh/iMawhz8/Z+lJncswFG8+bxnnttdx355BnuyIkSsnrCGviwtX1nPZ2kYWVc3N+iZzmSQYYkGys1n6Pv7xigyJ8qxZQ93b30b42mtLS8YuMM6aGure/jZqb3kryT/dQ/Q7/0HuuedP6ZjRO+4gt3cPiz/3ORyhUIUiFUJMl3zRKk1+nmRcvMflYFFtAFtrvC4Ht16xgUs2tjKcyPGZ/3qePb2jdAynaAp78ZcL82mtSeVNhkazuBwOVjaFeM1ZSwAI+VyEfBOv7NMY9nL7DRt4rjvOvXsGOTScomDa+N1ONi+tZtvaJpbXB2QO2Bxxz+5BeuIZnIaitcb3ij8XpRQhr4u2OkVHNM09ewa5fmPLKVVRX9kYZGVjkFsuaCOZMzGUIux1SsJ5CiTBEAtOcXCQnr/6a3I7d57ScTzr1tHwvr8heNll8h8ToJxOwq++htA1V5N+9FEiX/4K2WefPenjpR98iM43voklX/sq7qUn93RKCHHytNZ09sXYvquH4ZHy8KeAl42rW1i/ohnHUTdfAa8Lp2FQLNpTOnbRtAj73dSFvTgMg+ZqP+9/9Xq+ctcuuqJpekcyaF0qDle0bBxKURfy0N4Q4n2vPmPCYVRjcToMtrTVsqWt9qVrk3+3556CafPwgWGiqQJtdf4J/4wCHic+l4PhZJ5HDkS4Zn3zKZ/f43TgCUrPeSVIgiEWlPyhQ3S9452Y/Sc/38K1eDENH/y7Uo+FFIt7BaUUwQsvJHDBBaTuu5+hf/s3Ch0dJ3WswsGDpSTjjm/iW7++wpEKMfdp2yYzMEQxk8VwOQk0N+KYgcUiIiMpfn73sxzuixFPZsnmi2gNbpeDZ/b00Fgb4nWXn8mattJw0DOW1VMV8NAxEKex2j/h6kr5okW+aFET9LJqcc1Ln7c3hvjHm87igV39PLJ3kOFEDkvr0lCqKj8XrW3ikrXNk/ZYTIUkF3NTbzxDLF0a8jaVCdU1fjeJbJEDQ8mKJBiiciTBEAtGbtcuut75LqxY7KT2Vz4f9X/1XmpvueW0Ww1qNiilCF1+GcGLL2Lkpz9j+Mtfxk4kTvg4VixG1623seQbX8e/Zcs0RCrE3GNmcww8/jQDjz9NemAI2zRRhoE7FKJxy0ZaLjoff9P0TDodHklxxy8eo6MvSipToDropbE2hAJyeZOhaIrISJpEKsubr9vC+pWLWNoQYvmiKgZG0gwnsjRV+8c8ttaawZE0NUEvW1Y14zuujkW1381rty7j+rOW0B/PkCva+N0Omqv9J71akDh95E0by9Y4p/hn7XQoLA25KfaciZkjCYZYEHK7dnH4tred1A0uQOCii2i+/XbcrYsrHNn8p1wuat/6FsKvvoaB//9TJP9w4vNe7FSKrne+i6Xf/IZU/xbzXm4kzs47fsDowU5ysRi2aWG4XGjbJtXdR7pvgMEnd7DmLW+g/swzKnpurTU/vXMHHX1RTNNm+eK6Y3ojvB4XVSEvkXiaroE4/3n3s7Q2V1MV9PGac1fQNZTgUP8otq2pD/uOWW42XzQZHMmggaWNYa7YPP7QR6fDYEldsKLXJua+gLs076Fg2VMaxlYwbVyGwi9V1OccGd8h5r38/v10vf0dJ5VcGMEgLZ/5NEvu+KYkF6fI2dBA6xc+T+tXvoyjpmbyHY6js1m63/2eU5rXIcRcZ2ay7LzjB0Rf3E02GsVbX0fVynbCbUuoWr6M0LLFWMUC8YOd7P7ez4jvP1TR8x/qidI9ECedLdDSUDXmUCelFPXVpVoVkXiap3d2A7C6tZa3XL6eFS3VABzsj3N4KEFPJEnHwCiHh5L4PE7Wttbyl9dtor5q7F4OsXAtrvbRUuXDaSiSeXPCtlproukC1X4Xm5ZUz1CEYqqkB0PMa8XeXrre/g6sePyE9/Vt2kTL5z6Lu7V1GiJbuEJXXol340b6PvpRMo89fkL72pkMXe9+D20//hGeFSumKUIhZk/fI08QP3CIYiZLaNkSjOOWanZ4PARamskORUj19NHx33ex4pY3cnDHLvr2H6aQy+N0u2hYsoiVW9dTt7jphOYbPLWzi3gyS3XQN+E8CqUUNWE/g9Ek23d1c/m5q1BKsXV1Mw3Vfu5/rotnDw2RyhZKQ14cBjVBL+esbmbbpqUv1cUQ4miGobh0TQMHhpIMjOYIuJ3jDo0byRSxtWZRlY+ty2pnOFIxGUkwxLxlpVJ0v/evMIeHT3jf2re/nca/+wDKdeqTCcUruRobWfrtbxP95jcZ/uKXQOsp72uPjtL97vfQ9vOf4ayV/1TE/GGbFgOPbycXHcHf3PiK5OIIpRS+xnpG9h1i9/P7ef7/fotCwSSTTGNbFspQ9O3rZP/2F1m8uo0Lb7oGj39qqy4NRZNkcqXei8n4PC5MyyaezJLJFQn4Sst0L2sMc+tVG3hdOs/hwVEKpo3P42TFomq8UglZTGLbmkYe3DdMumByKJJicbXvmAnflq2JpvIMpwqsaAjy+rMWT7o8sph58psu5iVtWfR96MPk9+07of2U282if/0kVTfcME2RiSOUYVD/nvfgWb2avg9/BDuTmfK+xZ4eev7mfSz97nfmTaV0MXOKAwNkd+9B57IorxfvmjW4W1pmOyySXT1khoZBa5z+yZ/wR70h4qNZzGwfgboaqhtrcbic2JZNNpkm0tVPLpUhn8lxxa2vw+2dfHEKy9YvVTGejFKqXKcCLPuVk2yrAh42Lp/fRUdF5QU9Tj541Wo+d/de9g4m6YyWamJ4XQ5srUnmTEJeJysbg9y8pZXL1jbNdshiDJJgiHkp8u9fJfXAAye0j6O6mtavfRX/WWdNU1RiLKHLL2fZT35C91/+Jebg4JT3y+7YwdCnP0PzP/3jNEYn5pPcvv2M/v53ZHfuxEok0KaFcjgwwmF8Z6yj6rrr8K1dO2vxFdNp7KKJ4Rm/GvYRsXSB0aIiZ9nUBH1UNde/tM3hBJfHTaAqRKR3kN59nTx3z2Occ/22SWMI+T24XQ5yBRO3a+JbhKJpgda4XQ78Xunt1Vq/tAqSz+WYcIiZmFhzlY9PvGY9d77Qz8MHhhlK5ClaNkopFlf7WL+4iqvPaOaspSc+n0/MDEkwxLyTfvxxIl/72gnt42xsZOl/fBvPypXTFJWYyP9j783D7LqqO+13n+nOt+ZJs1QaSvKMjQdsbNkG29iENAkE6JCkgXQgEJJOQ0Nn6gxfJyHpdEMSujukGZK4ExJIOiEJGPCM8YBtsI1lSSVVlUo11607j2fe3x+nJGuo4UpWSVXSeZ+nHtlV+5y77r017LXXWr9fdNdONv/1XzP2/vfjjI01fV3hb/6G+I03kL7rrhWMLuRioPq975H94pdwJifwyhXUdBqh6/iWhTM7gzM9jXnwIB0/8zOkbr75gsSoaBpCEbBANeBEpJRkKxa252MIgbZI25Gqa7T3dZGbnOXIiwe56o4bMWJLt0pduXMd+4ZnKJTrpBNLry1WGqSTUS7r70VbpJ3rUqBquXz38ByPH5pjpmQipSSiK1y3uZ3bB7rp70qGvhtnQUtM593Xb+Ltr1vPgekyFdNFVxU2tcdZ1xrO8Kx2wgQj5KLCK5eZ+sQnz6inX+vpYfP9fxW6RV9gjA3r2Xz//Rz96Z/COdp8kjH9679B7Kqr0XvCVoyQhTEPHSb7xS9hDQ2hplJEBwYQJ2yIpefhzs1hDQ2T+8u/RGtvJ7Z793mPM9HXgxaP4U5O47suirbwn+i67VG3XTxfEjUUtOjiiYAeMdANnWqxzNFXhthx3eVLxnDVrvV866mDZAtVCuU6bemFlZ4apkOp2mBzXzs3XLG5+Se5ihnP13l0MMO+yRJ12yOqK+zuS3P7rm62diYWTBIOTJf57COHmSo2yNVsGraHEEGL2dFcnccPzXH7QDc/c9MWNDWcEzgbIprK1RvDSsVaI0wwQi4qZv/gD3AzmabXqx0dbPrSl8LkYpWg93Sz+S/+gqM/+V6cqammrvHLZWZ++7fZ8D8/G54ShixI6YEHcCYnUVMp9L6+074uVBW9N3ABticmKf3r1y9IghFpbaHj8t3UZ+Yw8wXi3Qsb6Vmuj+t6KPhokRhGOrX0fRMxbNOmklteTS9iaLz11suoNWzGZ4pYtktbOk5kvkriuh6lqkmhUqevs4UbrtzMpr61vfmzXI8vfvcITw1nydVsivVA+UoVglcmSzx6MMO1m9v44G39Jw0bD2Uq/I9vD3IoUwGgJxUhFdUQQmC7PrmaxeFMBcv1cD3Jz926LfwdFXLJEKbTIRcNtaeeovQP/6/p9SIWY+PnPkdk29YVjCrkTNH7+tj4hc+jtCyvYnOM6iOPUHnggRWMKmSt4szO0ti3D69cRuteusqlkwvGdwAAIABJREFUdXXh12o0BgexJybOU4Qns/7WNxDv7sQuVTDzBeQC1VjPsvFsB0XTiLS1nFSNWRgBSKTfXGX3mt0b+LE7r2TL+nZ0TWUiU2R4IsvIRI7RqTyu57Opt41brtnK2267fE1vml3P508ePsy3989waKaC50m2tCcY6EmxpTMBwOFMhUcHM/z3bw9iOh4QtKl98ckjDM9ViagK/Z0J0jH9+GthaAp9LTG2dSYYy9d5/FCGF8fPXC49JGStElYwQi4KpOMw87u/1/wFQrDuD/+A2OWXrVxQIWdNZOtWNvzxHzP2sz8L7tJmS8eY/cP/RnLvXpR4aN4V8irmwYN45TJqKrXsRlyoKmo6jVcqYR44eEE8cFq2bab/7fcx9A//QmViCqtQItLagmLoSM/HLlew6zaakcRRNWJdncve0zYtIvEo8ZbmnbGvv2IzW9Z38Oy+o7xwYIJawwZA11T29Pdy/eWb2LahY00nFwDfemWGZ4/kmC6ZbO9OEtVf/R7RVIi1xuhMRhieq/KDsQJfe3GSd71+E/uny4xmazQcj4He1KKvQ9zQ6ElFmatYPHowc1EPJU8WGzwznKNQtxEC1rXEeMP2TlpioQDApUiYYIRcFBS+8hXs4eGm13f+/M+TfvObVzCikNdK4sYb6PnkJ5n93d9tar07M0Pui1+i6xc+ssKRhawlfNNEem7TnjZC18Hz8M3GCke2OOveeCNaIs7o1x+kNjOLXarg1OoIRcFIp1i/uQXH0ciV6lgNi2hi8YFXz3Wx6g3aezvZfPmOM4qjuz3JW2+9jHtuHqBSs/B9SSJuEDUujg2j50seHcwwWWzQGtOpWi512yOmq8SMVxMNQ1PY3BFnNFfnicNz/OjV63l6OEeuatORMFCWSbLaEjoz0yYvTRQp1m1a4xeXtPZkscFfP3OUfZNF8jUby/URIkiu/uEHE9y4rYN3X7+JZCTccl5KhO92yJrHbzTI/q/mVaPir389nR/58ApGFHKuaHvvT1J/9ntUHnyoqfX5L36Rtp/8t2htF+8pYciZoUSjCFXFN62m1kvHQUSjKNELq1LT/bor6bzyMvL7D5J7ZRC3XkfRdVKbNtDz+mto+8EBnv2XRyhlcugbelEXkJT1fZ/CdJZEa4qNe/qJp5uvYJyIpqqLDnufb6SUjOZqTBYaeL4kHdO5bF3LWRmtPTOc5fmjefJVm5rlHtcG0RRBMqrTlYzQGg+SqbihoauCmbLJD8YK5GoWluvRsowqV3A/BUNTsF2fwkWWYBzJVvmjbw1yOFOlVLdpjeskIxpSSsoNh+lig0zFZDRX45P3DJAK5YyPc0x97NkjeUoNB10VrG+Ns3dXF5evb1nz1cEwwQhZ8xS/+lW8XK6ptUo8zrpP/X4TPcshqwEhBL2/8zvUv/8DvHx+2fV+vU7h/vvp+sVfPA/RhawFort2oabTONMzSM9b8mdfeh5euUykp5vowK7zGOXCKJpK55WX0Xnl6a2cu268kslDo3juYebGp0m0pomnk6iaiu8HRnu1QhkjFqFn83quuevCSO+eK6SUPDOS49uvzDA0W6Vmu/gSIppCdzrKG3d08pYr+prewE4WG3z20SFmSiauLxGujzJvGmi6PqbjUzEd+lqi9KajCCFIRXQatkembM5XLYLZluaeQKAspZ7nTaPt+jw/mmc4W8V2fZIRjWs2tbGj+7VL59Ztlz9+6DAHpssIYHdfGvUE74+OZATL9TiSrfPiWIHPPT7Mx+++cD4zq4mH9s/ylefHmKtY5Os29nzVJ2FoPDWcpb87yS/cvp3elrUrxxsmGCFrGuk45D7/habXd338Y+jr169gRCHnGq2tjd5f/zUm/+PHmlqf/6v7aX//B1CTiRWOLGQtoPf2ErvsMuypadxMZkEVqWO42SxKIk5s1y6MjRvPY5Rnjqbr7P239/HEV7/J5MEjVIsVMqMTgEBKn0g8Rrqrja6Nfdz6nvtItCytNLWakVJy/9NH+ea+aaZLJg3bm1drgnzNYzxfZzxf44WxIh+7exedyaUdyyumw6cfHGQ0V8P3JboqSJygDiWlxPYkddtjumSiq0pwz/m9swR601HihkrZdJdNamzXx/F84oZG+zKxnSt8X/KvL0/x0P5ZpksNyg0XX0p0VeGfX5qivyvBO6/dyBUbWs/6MZ4ayjGWr+P6Pv1dyQVbxSKaSn9XgsHZCi9NFDmSrbK18+wqaRcL33h5ir9+ZoyRbJWoptCVjBCbdykvNRxGczWyVYtyw+HX7ttDT3r5KtlqJEwwQtY0lYcfblqWNrpnD23vetcKRxSyEqTe8hbiX/0q9aefWXatX61S/td/oe3d7z4PkYWsBVruvZfGgQNYh4dACLSurtN9MLJZ3EKB6PbttNx77wWMtnmMWJQ73vs2pofHOfz8PqaGjuJ7wUl8x4Yetl93OZv3bF+wfWot8c8vTvHAy1McydbpbYmwpTN+0ma2brtM5Bu8OFbgMw8e4jfeuoeIvnil6tHBDIczVXwZOG5bno/keP6AEIKIJlAENGyPmZJJe8KgZrm0JyK0Jwyu2dgWKE/NVuhNR086uT+VXM2iLWHw+i3tTc0hTJcaPDeaD4zlFMGG9jjXbW5vug3M9yV//sQwjxzMMJGvoyqC1riBqghs12M4U2Gy2OBors4Hb+vnDf3LCwXAq07lQoCuCB4dzJCtWnQlo0vOoeiqQnvcIFu1eWxw7pJOMI5kq/zts2MMZ6v0paO0J05ul4vqKp3JCKO5GgdnKvz5d4b59fv2rMl2qbX9WyfkkqfwN19uem33f/5k2Bq1RhFC0PPJT3Lk37y9qfWFv/kyre9615r8pRxy7onu3Ennv/t3ZL/0F9iTk5iDB1HTLQhNQ7ouXrmMkkgQ3b6djp96L7HL1o66nFAU1u3YzLodm5G+j2PZaIaOcpH8rqtaLt94eYrRbJ2N7THSCygSxQ2N/u4kQ7NVDk6XeWo4y+0DPQvez/V8HhucI1e12NSWYKxQw6z7eL5EOyVJ0BSBRdAylalYNByfrlSQKMQNjT19aTIVi9FcjS0diQWTjELdJl9z2NGT5M7dS8skj+Vq/N3z47w8WaJQs3E8HyEEyYhKX0uMOwa6+ZGr1i+ZzAD8yw+neORghqO5Gpva46RPqbD0pKNkyhZDmSqff2KEvpbokpv+2bLJY4MZnhzKUjEDVb9UVOPwbIWa7bI9tny1uDWuM15oMDxXXXbtxcwjBzPMVW1aY/ppycUxVEWwpSPBgZkKgzMVRrI1+rvWXlIWJhghaxZnaor6s882tTZ+ww0krr9+hSMKWUmiAwOk7r6byre+texa69AhrIMHiV4As7SQ1UnypptQ29oofeMbNPYfwC+Xka6LiEaJ9PQQ27WLlnvfsqaSi1MRioLRxNDxWuKpoSxzFYuooSyYXBxDVQTdLRGyVYvHBufYu6t7wQOGyWKDmVID35ekoirtiQgN26PheCQiKgqvXiOEwFAVHNdnolBnc3uCm7Z1Hjfb+8AbtzFTNjkwXWZwtkJHwqAlpqMIgel4ZOedvbd1JXjHtRvZ3r14m9rBmTKfefAQI9kqxbpDa0wnOt82M10ymSw2mC4FVYeP3L59UVdwy/V4cP8M4/k6m9vjC7ZvKULQnjTI121+OFHiN7/2Cm/a08MNW9vZ2fOq5K6Ukgf2TfOV58fJVi3yVRvHk4BEUxQqlovj+RTqzqKb5RPfH9+X2K6/5LqLGdPxeGYkR75msaN76YRBVQTtcZ1c1eI7h+bCBCMk5HxSPgNjtc4PfXAFIwk5X3R+6INNJRgA5W98I0wwQk4iNjBAbGAgqGIcPIhvmiiRCNE1MHNxqfLyRIliExtYgJaYzmShwWi2uuimt257eH4wiyCEoCcdoWI6lBoONcvDUBV0TaAgkIArJZbnEY8YXLa+hR+79lVvlO5UlF+9dw+ffeQwQ3NVclWLI9kavgykbdsTBv1dSd5x7Qbuvqx30bjzNZs/ffgwB2bKGKrCnlOGpbtTEaqWx9F8IJPblYrwb2/YvOC9nj2SZ6ZsoqtiweTC9SUThTrFuoPpepiOx/OjeWZKDb71ygz9XQl+6sYt7OhJ8c19M/zfZ44yMlcjFdXY3BEnbgQKURXL5ZWpMo7nM5qrIkSStiXUsSzXR1OVS1qqNlezqVsemiKIaMtXGNMxnZmyyUzZPA/RnXsu3Xc6ZM1T+faDTa0z+vuJ33jjCkcTcj6I7t5N7NpraXz/+8uurXz7Qbo/1txgeMilhbF+PUYo9rAmqNsuruejL3JifyKKEOiqgutJ6pa7YIIR0RQUReDOu5qrQtDfleRItkbFdLBdn6oZnLJL5PF7bmqP85/uHliw3eh3fvRyXpkq8+jBDOOFOq4vSUc1rt/azi07uk675lQeOTjLWL6OIgQb22KnVV6EEKSiGts644xkazxyMMOPXLVuwQRiOFOl3HBpjZ3+3B1fBl83HSzHR1MFqhAoCjieZDhTYbrYYKpo8tM3bebvnh/jSLbGutboScmDEIJ0VKcnFWGqZFI1PcYLDdJRfdH2rXzVpi1hcPWmsx8qX+v4vkSeNO2zPFIGlaS1SJhghKxJvFKJxssvN7W29Z3vCHvxLyLafuKdTSUY9tGj2BOTGBvCjeSlhpQSa2QEc3AQv2GixKJEd+0ism1b+LtgjRHRFHyg1HBwPYmmCuKGuuD7KKXE9XxURSw65L2+LUZHwmA0W6Nuu8QNDU0RbO9OUjEdslWbiukg52VlHc+nNx3jg7f2L1pFEUJw+foWLl/fcsbPz/F8njg0R65msaktvuT3Z9zQiBsauarFdw9necsVpyui2Z6PlHLBjf5Yrk654eB4PsmIiiIEdQmqUGhP6KRjcaaKDQ7NVvjDbx7E8yXJiLZoZaIjGaHYcCg3XBq2R75u07WASlbFdKjZLls6E9y6o+sMXp2Li9a4TkRTcTwf1/MXbXM7Rt12ierKkpWh1UyYYISsSWrf+x74TfRyCkH6LWtDESakOZJ3vgkRiSCt5Y3Tak8/hfHOd56HqEJWC7WXXqL4r1/HGhnBLZXBc0HV0FrSRLZto+2tbyV+1ZUXOsyQJnhpvDhv4OaQq1pENBVFBEo7HUmDjmQERQTtN7brU7dcFCHobQmSiIWIaCq3bO9iNFdjtmyxpSNIVgSQjuqkozoS8GUgUzuWq7OlM8Ebd67MxnimZJKt2iAhbizfNtMW1ynWHQ7NVhZMMBKRIGE6ddah4XiUzcBlOxkNZk2klPhSBv4cioIiBOtbYxzJ1pgoBE72u/sWnxtJRzVaYjqW68+rbTXoTBj4MmjF8qWkYrpkKiZbOxPcd+W6i8pk8ExJRXWu3tjKRKFOrmYvKT8rpSRXtdnUkWha5Wu1ESYYIWsS84c/bGpd7Kqr0HuWVu4IWVuoyQSJm26i+thjy65tvPQSbWGCcclQevgRcl/+W+zJCXzTRG1pRega0nExR0awp6axRkfpeM97aLnj9gsdbsgiSCn5++cn+NqLk0wVG9iud7ylScpgs1yzXGbLFroqaDgenpSYjo+hKhTqNt8fK3Dd5rYFKwJv2tPD44cy7J8qM15osL41dvKJv5TUTJfxQp1N7QnevKfn+GD3ucZyg9g1VTRVXdMUgT8vF7sQV29s5es/NDiSrdGTjhy/Z65qY7uB58exQXZPBp4eEU0hEQmSGyEEnakoU6Wg7z+6hDSuEIHaketLZksmZdPl2dEC3nwrkO9LDE2lryXK3l3dvP2asJp8x0A3zx7JMzRXIRnRSCwwkyKlZLJoYmgqm9rjXHEWlbHVQHOiyiEhq4zGvleaWpe4eW2714YsTLPvq9nk90nI2qf+8svk/vZvsYaHUZLJYHB7XR96VxfGuj6iu3ahJBJYQ8Pkvvxl6k22WIacfx54eZp/fGGCoUyVRERlY0ecZFRHymDDG1EVarZHrmoxWzapmC41Kxjetj2fw5kqn35wkC89eQTfP71/vTMZ4aN37GRg/nR+/3SZ8XydTMVipmwyOFtlqmSyqSPB7QPd/Ng1G067x7niWIuW7cqmeu1tL2h/WqzasacvzeaOBIamkKm8WuWt2y6u/+osS+Bp4R0fRj/RxyJhqEgZVHEC1ajFURXBprb5BE2C5wftP94Jr7svJd8fzfPieHHZ53exc/n6Fm4f6GZTe5wjuTrTpcbxZFFKSdl0GMnWaDge/d0J3n/LVpRlZIlXK2EFI2RNYg0ONrUufu3rVjiSkAtBs++rNTQUSJFq4a+6i53iA9/EnpxC7WhH7zq9nUUoCnp3FyCxJ6cofvNbxK+44vwHGrIkddvlay9OMpqtsaEtRktcR/rgeYGnhOkEiUQwMBuMywokUV0lEdHY0pHAdDyG56q4viRmqLzn+tMVl/asS/Or9+7hq8+P88PJEsWajT1vUrihLcb61hhv2tPDPZf1regGrzcdIRXR8HyfiUKDdEwnFdUWNa7L1yy6U1Gu2rjwsLQQgndet5HJQp2hTBXPl3SlIsjjXwfPl5iuhxCChKHSlTp5bkJVRCArKwMfkqVMC6WUjGTrSEAVsKEtFiRNqoKhCjwJcxWLgzMV/vSRw3z8rgH2rEufzUt1USCE4N+9YQuqInj4wCy5qsXhTGV+mBuiukJHMkJfS5QP793OQO/afa1WxV9dIcQ7gNuAq4GrgBTw11LK957FvTYAvwPcA3QA08A/Ab8tpSwscs0e4LeAvUAaOAr8LfApKWXjTGMIWVm8ahWvsOBbeRrRNaxpH7I4kR07EIaBtO2lF7ouzsxsOOh9kWONjWEeOoRfr2FsWlpuVuvoxMwOYg4ewhofJxLK064qnhzKkq3YRDSFlnigkiQU2NqVIF5WmS2ZFBvOSVo8hqrQk47S1xIjqiukohoxQ2U0V+Nbr8xw50AP3Qv0u2/uSPDxuweYLjX4/tECVdNFUwWbOxJcs7F12SHc14KUkscPzfHwgVmO5GrUbI9io0bc0IhqCh1Jg+7UyQ7hxbqN60l6W6Jcv7V90Xu/blMb779lG1968gjTJZPB2Qqm4+F6kprvBv4emkLCUNk6bxAopTzeTuX5El0TSCko1h06FhjcPjGmQt3Gl5LtXSl6W05/nROGynTJZGSuyl8+dYRP/fiVl7TYgqYqvO/mrbxxRxePDWZ4bjSH6QQO6d2pKHt3dTWlPrYQVctlKFOhZrkrEPmZsSoSDODXCRKLKjABDJzNTYQQ/cBTQDfwNeAgcD3wS8A9QoibpZS5U665AXgE0IG/B8aBO4D/AtwphLhTSrn8NGnIecOZnGxqndrVidqyNnsXQ5ZG6Dr6po3YQ8PLrnUmxsME4yLHPDyEV64E7tzK0ptCoSqo6RReuYx56HCYYKwwUkoOz1b5zqF5CVdP0hLTef3Wdm7q7yR6yun4i2NFCnWb9uTJw8BCQG9LFMvxqNkumiJQFbDdoHqxsS12UkKQjGikozq5qs1jh+b4iesWf5/7WmK89crYuX3iS+D5ks8/McKjgxmmSw1MO/BGcD2oWg4NW6HheJQaLv1dCRQhyNdsZisW/V0J3nbV+mV9FPbu6mZDW4xvvTLD86MFJgp1przGcQndmK7iSzicqSIJJH5bYhodyQh1y6UjESQVjuczWzbpTkVOSwqklIzm6vNqU+qCSRwEp/Z9LVEOzFQYy9d5ebLElRsuXbnaY2zvTrK9O8n7bt5Kwznmj6GcVfI1VWzwwL5pnhnJUazbzK4C74zVkmD8MkFiMURQyXj0LO/zvwiSi1+UUv7psU8KIf7H/GP8LvChEz6vAl8C4sCPSin/ef7zCvAV4Mfnr/vUWcYTsgJ4udzyiwBj/cr1zYZceIz1G5pKMJqtdoWsXaRlIn2v6VY4oWlI30Pa4dnRSpKtWvzZo0McnCmTrVrULBc5b0L37JEcX3lunPfcsIlbd74qxFGdd4decAMtoWy6+JLAdVsIPN9FEKgWnXpJR8JgotjghbHCkgnG+eYrz4/x0IFZxvN1+lqitHbqgQ/FXJWK6WC5PjXbxXR9qpZDRFVIRnW2dyd5+zXrefOenqYeZ3t3iu3dKQo1m8GZCp9+aJDDsxU8X1IyXWzXx/X9+UqQoO64ZKs2ri/Zsy7NfVf08fCBWUayNSqmS0fSIBnRkBIqlsts2aTueCgieKylOsmEEHQkDHI1m2dGcmGCcQKqIl6TAeHLE0U+++hhxvIN8jWLqKaeNANzoVgVCYaU8nhCcbZlMyHENuAuYBT4n6d8+TeBnwN+SgjxMSllbf7ztwG7ge8cSy7m4/GFEJ8gSDA+JIT4A7lWnU4uQrxSqal1avviJeSQtY/a0dHUuma/X0LWLkosjlA1fKu2/GJAOg5KPIESO3+n1pca2arF7399P/unSoGrdtJgQ3scRQSqT9mqxXSpQcV0MB2fu+adrg1VmU8cTv+TK+W8WZkMDPCknJ/DECw4sxDRFBzPp2Je+HaRY+RrNg/uD4z1tnbEj6sIRTTBjp4UmbJJvmZjOR51J1DP2tQe4w39Hdx1WS/Xbj7zv2ttCYMb+zv4ieJGfv+BAxTqDgoQNRTiuoYQAk9KGo5Hw3aI6iq+lLz79ZvYs66FL333CLMVk1zVZqoYnIzHDZXOpIEz7zvSElu+nSduqFQrFsW6c8bPIWRhjuZq/MkjhxmcqWCogh3dSSKayitLqH+dL1ZFgnGOuGP+329LKU/Sb5NSVoQQTxIkIDcCD59yzTdPvZmUckQIcQjYCWwDlj0qFUIs5v51Vi1fIQvjN5or/SnJxApHEnIhUVPJptb59XCM6mIntmc3aksaZ2YG6XkIdYmhVNfDK1fQ+/qI7dlzHqO8tPjCEyMcmC5TdzwG+tInzRJEdZW2uEGuajEyV+VvnhlloDfFpo4E/d1J0sMaxbpNMnryFkUEE90BMmg1UgQYmoqunp5geBIEwbzBauE7hzLkqhbJiHqaRKmuBD4UfS1RKqZLvmbTcDwuX9/Cr9z72r9Xj+bqGJoyL1ULlitxhIcAfBkkaUlDw5OBfu3TIzn27urm8nUtPDOS5cmhHLmahRCC7lSEXT0p/u75cSby9aYeXwIIsajbd8iZ808vTHI0VyeiKQu6wF9ILqYEY9f8v4cW+fphggRjJ68mGM1cs3P+Y/lejJDzQ5PFJKEsb1oUsoYRTW4awuLjRY/e00P88stxpmdwZmcx1q1bdK2TmUVNp4lfcQV6d+iRsxIczdXYN1kkV7NOSy5OpCMZwXQ8MhWLhw/O8r6bt7F3VxcPvDzNwZky3a5/cnIgglPwuu0d98Yw1GAgeqGNVbFuk45pbO1YPYdNL08GFZ3e9OKD08E8hE4yovHKdJnpUoOG7RFrwohvMWZKDV6cKOJ6ksvXtVCo2xTrzvFKkaIEkrkdyQgKQQXq0YMZbtvZRcxQuX2gh9sHTm7Nqtsu39g3jeP7WK5PZJlErtxwSBgq61oXN5hbjKlig0cHMxycLmM6PnFDZfe6NH0tUSzHx5eStrjBVRtbT5vruVjJVi1eGC9QrNvs7k2tquQCLq4E49g072L9EMc+f2Lj39lcsyhSymsX+vx8ZSPUSz1XNPlDJD1vhQMJuZA0/f6usl+6IStD63330jh4EPPQYezJKfSe7pNmMqTj4mQy+LUa0Z07aL33LRcw2oub7xyaI1+zaYsbaMsM3XcmIwxlqjwznOM912+mtyXG67e2U6rbjMxV2dKZOGnD2JGIUKo71G0PTRVEdZX2BVy7PV+Sq9ls7Qy8LM41ni/J12wczycZ1ZpW/Knb3kl+FEuhKgJNCdrFarb7mhKMp0dyFGo2rTGdlvkPpzVIDKQEXVWI6Mp8NUMyXTIZnqsylq+zeZEELW5o3LC1g4l8nWzVYn3r4i2HrudTqDsM9KZOmrlZDtPx+NKTR3h6OEuuZlNqOLiej+NJ/vmlSeS8A3p7wiBqqHQno9y8o5O3XbWO1FmoMK0lfjhRpFh3SEW1FVU8O1supgRjOU4orK7oNSErTLOtT36lssKRhFxImn1/w1a5S4Nofz/dH/gAmS98AXtiEvPQIZREAqHpSNfBr9VQ0y1Ed+6g+wMfINrff6FDvmiZLjaoWe6iqkInEtFVNEVQNV2yVYsNbXHef8tW8lWbF8YKDGeqxA2NdCyYFWjYHrbnH5+72NQRP22z7ng+o7k6LTGdnT0pLjuHvgv5ms1jgxm+c2iOXM3C90FTBQO9KW4f6OG6zW1LbvYimoIqxHFn8qXwpcTzJaoQr/lUPlcNPEROHCbWVeVV4z2gYrrkqhY126ViuhyYLnP/M0f5mZu2sLE9vuB979zdzXcOZTicqc7L655emXE9nyPZGp3JCFdtbFsyETkR2/X5zEOH+N5Ijqlig9a4zrqWKDNlk5rl0HA8fBl4etieT9zQmCw0mCzW2TdZ4uN37VpSYnetU7M8XG/5ytGF4mJKMI5VGxbTJU2fsu5srwm5wKipVFPr3Gx2hSMJuZC4c3NNrWv2+yVk7ZO49nX0tbdR+ta3qb/wIl65HMxkxOOoGzYSv+ZqWu6+i+jWrRc61Isab74tUdBc9fBYkfGY63bc0PjEWwb48rNjPD2UJVu1qFouzCtQXbG+hVzNxpcwlq/TGtdJzKsbVS2XcsOhMxVhd1+aX7hjxzlrHdk3WeKzjxxmqtQgV7WDzb8CjicZz9d5cbzI1Zva+OgdOxZVBdrZk+L50TyFuk0iogX+FMeTCOWkYfVywyFmqGxsj5N4DdWLE1korXHmE4CqFShLOb7E8ySO5/PQgRkGZ8rctrObn3nDltOSua2dSX7yxi3c//QoI9kq+bpDZ8I4Piheajjk6w7tCYPL16f5wC3N/+z9y0tTPDeaZ6Zssr07SVRXGc/XKTVcbM8nYagIAQ3HPy5/nIpojBXqvDhW4DMPHeI33nrZqprBOZcYmoKiCBzHX37xBeBiSjCOWTvvXOTrO+b/PXHe4myuCbnAaAsJc13kAAAgAElEQVS49C6EMzGxwpGEXEiafX+1sM/+kiK6dSvRD30QN5ejcegw0jQR0SixnTvQmlQeCzkzLNfjuSN5Hh/MMFlsMDRboVAL5E63diYwlvBscH0f2/XR1ZOViKK6yvtu3so7rt3A08M5JosNPE/SGte5fms7hqbwV08fZd9kkXzNptxwQUBMV1nfFuOajW389E1baFugfepsGMpU+PRDhzg8W0FVArfvYIMbtDAV6zZj+ToN20NKycfvGlhwY3v7QDdf/+E0+6aC9hbHC1qUhAgqCu0Jg85kBF0VzFYsetJR7hjofs1JUnc6Eqg4mQ4dJ7wmji8ZmqtSbgTywIaqkNAFNekTM1QUBIdmK9Rtj7rt8gu37zjN2fzuy3qJ6gp/9+w4s5VABcupWggCP5Id3UkuW5fmQ7dtpzXe3Pthuz6PH8owXWywqT1OVFexXJ/c/OB7QlePz/ZEdYHpeuSqFl2pCP1dCQ5nqhycqfD80Txv6O98Ta/damV7d5J0VGeobLGuVS7q/n6huJgSjGNSt3cJIZQTlaSEECngZqABPHPCNY8Av0bg+v37J95sXvZ2J4Gr98gKxh1yhujrmzNN84pF3Lm5phOSkLWD32hgj483tVbfEPqhXIpoHR2kbgoTipVmeK7K/3z4EOOFBrn5SoPt+piOT8MxaVguva0xetPRBeehCjWbdEznig2ttCyw+UxF9eMStqfyiXsGmCw2eGooG6gbIehJR3jD9k66U2c+SLwYUkruf/ooo9kqMV1hfevJaj2qIuhIRkhFdYbmqrwwVuCJw3Pcuft0vwopoWzaOJ6kaloo83MWUkIdj4btMVe1iKgK8YjG1s4EN52DDfIt27v4xx9MMFM2cbxXZ0CmCg0qpovr+4G3CALb9dGUwHhva2eChu0xkq3y5FCWKza0cvuu0w9tbtvZzQ1bO3hmJMdzo3lKDQdNEWxqj7N3VzfbuppT/TvGD8YKTJcaqIo4Xr3J1yxsz0dXTlai0hSBKaHheFRNl1RUozsVPT6ofrEmGNs6E2zvTjJRCCpqXanV1Q625hIMIYQO9AOOlPK4spOUclgI8W0CpaiPAH96wmW/DSSAz53ggQHwOHAAuFUI8bZTjPb+YH7Nn4UeGKsLJRZD6+pqqkWm8corpPbuXfmgQs4r1uAg+MuXhUU0GiaYISErxJFslf/2zQMcmqngeD6dqQibOhKAZP9UmWLNpmy6eIU6UkLfKb33DdtjrmyxtSvBHQPNmcedyvrWGO9cYRO9oUyVobkqNctjd9/iaj2GprCuJUqmYvHoYOa0ykOxbvPfvz1I3faClihDxfWC7YWuCnwZDDXXbJe4obF7XZr/8Kad50QVqT1hcN2WDuYqFkeyNbZ1Jmi4fqBQ5XjoqkLD9lFE0DKViGh0zrt5xwyVda0xZsomjxyYZe/OrgVfg6iusndXN3sXSEDOlJlSg7rtkY7qxx+rbAZVlugplSEBx4fhLdcjhUZbTGey2OBwpvKaFbhWK0II7rtyXfD9mamiiOB9Xi1qUqsiwRBC/Bvg38z/77GjipuEEH8x/99ZKeXH5/97PUFScBTYcsqtPgw8BfyJEOLO+XU3ALcTtDn92omLpZSeEOJ9BJWMvxdC/D0wBtwJXAc8CXz6HDzFkHNMZM9u3MeXTzDqzz0XJhgXIbVnn2tqXXTXLsQyKjYhISFnjpSSz39nhKH5lqHNnakTWjQEWzoTjPiSiuVStTwmi3XSUY1EVMfxfPI1m1zFYn1bjFt2dHH1ptXr7PzMkRz5mk17Ql+2DSUd05ksmoxma4zn6/MJV8A3Xp7m0GwFx5O8blMrmYpFrmZjuT6eHwyuxwwV15fzvgZxNrQtPFx9Nrz3hk0czdV4cbzA98eKOJ6H7QZmhbb76oGNpgRD5a3xV1vWWmI6U0WTkWyNkWyN/jOsSJwpfmDFcVLRKzBZXGS2RwTrjx0HK4pAFQLfDwwEL8YEA+D1W9p553Ub+crz44zlamQqFm0JoykRgZVmtfzlvRr4mfmPu+c/t+2Ez72jmZvMVzSuA/6CILH4GEG140+Am6SUuQWu+R7weuBrBNWPXyYY+v4d4M1SSutsn1TIyhFt0iAr/4UvrnAkIReC2lNPNbUusmf3CkcSEnJpcmC6zJFslZrtHXfoPpFUVGdLV9AjrquCuuXxylSZ/VMlBqfLOK7Ptq4kb9rTy8++sX/VnLouRLnhYLsesSYqCcr8sLbl+pQarzpWm47Hk/MD6xtaY2iqwrrWGHv60mzrTBxPJjZ3JLh6YyuaIhiZqzJVPHdGoS1xg4/eseO4C7rjyeND30K8+iGBhu0yV7VPel6JiErD9shWVn5b1BbXiWgKdftVOXJFEfPxnb55DkwXBfp8dcOXEk9KFCV4Py5mfvTq9fz8bf3c1N/Jpo4Evi/xV0HjzaqoYEgpfwv4rSbXjsLi0hRSynHgfWf4+PuBd57JNSEXlvi113FatrgI9tGjGJs3r2g8IecPN5+n/lxzFYz4tdetcDQhIasT35cMzZbJV0wQgq50lG3d586M64nDc+SqdmDMtsg9W2I6u/vSzJZNxnI1IppCf2cSQ1d43eY2bt/Vw5516VWdXECwuRYELUzNcGxoWz2herp/ukymYqGr4qTTdFURC/p4tMR1CnWH54/meVtrc3OHzfDPL02hKYKEoRHRFMqmezwOXRHoqoInJQ3HZ7JYJxFRSRjBVvF86vZft6WdzmSEqWIDy/WIaCqpiEap7uB4khO7pDwZVDaimkJ63v29WHdIRjS2diaJG2e21fV9ycGZCnNVEwi8Wnb3pk8bbl9N3LKjizf0d/LyZIn90yUO/G+DCy3UvyoSjJCQMyV+7esQ0SjGxo1I38crl/CKJXCc09aW/vVf6frIRy5AlCErQfmBB6BJk73EjTescDQhIasL2/V5bP8UTxyYYSJfw3KCn5WYobG5K8nePX3csqv3NW+WshWLhuMtq9Kkawrr22KUGjab2uP8yn172N6TJLKEstRqY0NbnEREpWw6CyYDJ+J4PqbrkTBUetIRXhwvMFFosG+yRK5qoTfZshnVVGzPpzqfAJwLslWL50ZzZCoWu3pTFOo2br6O60niJyY9CHwpsRyfuYpFokNDSknN8uhOK3Qmz40y11Kkojo3bO1guthgLN9gW2eCjoTBbMWkavoYqkRVBD6Shu0R0QIFLmVe1StTsehrDRS4msX1fB46MMsjBzOM5+s05n92orrKxrY4tw908eY9vU2ZJF4IFEVw1cZWrtrYyh8lIxy9wPGECUbImkSJxeh4//vI/+Vf4ddqS64tfvXv6fzgB09y9Q1Zm0gpKf7dV5paG9m9G63z4lQPCQlZiLrl8r8f3M+LR3LMlht4viQ+78cwU2wwma8xPFNm/0SRD9yx6zVtlJY7xT62Ic1WLcoNh4rpYrs1vvjdI7z1qj5u3Na5Zvri37ijk398YYKZknn8NH0xslWbdFQjGdH5vW8cYLJYp2q6VC2XzHxrkaIIetPRJf0ZfCkRQpxTh+YnDs+Rr9q0xHQMTaEtbjBdMjFdF1+eLHNqqApV2wsqBm2SmumiawpbOhMrPn9xjHdcu4GDM2V+OFHicKZKdypCW9zA9SxqjoeuiEBaV1NJRXW601Es12Ms35iXx01x/db2ph7LdDz+9JHDPHskx0zJxPMliYiGADJlk8lCnSO5Ki9PlvilO8/N4P3FTrjjClmzaN3dyyYXAO7MDJWHHiJ9zz3nIaqQlaT+ve9hHWrOliZ9910rHE1IyOpBSskXHh3kueE5MiWTde1xUico8EgpKdUdxnM1vIMzxCMaP33rjmXuujhdqQgxXaVquSROMZXzfMlYvk6xZmN7gc+F50tqluT50TyjuRr/8uIUH33TDrZ2np/N6muhNW5w47YOclWLI9k62zoTCyYH+ZpNrmoRNVSO5KoU6w5Syvk5FAUpJda8clPFdOjvSi64UZVSUqw7rGuNsXkRB+2zYSLfoGq5tM0PbxuaQmtcx3J9Go5HXFePf78oQqAIcKWkYjpMF002tse5Y1fPeWtpa40bfOLuAT790CGGMhWyVZuK6eD5Et+XWMfmLlRBMqIylqtRdzy6UhEGetP88pt2NlUpk1Ly+SdGeGooy3TZZGNrjFRUO+lnp2K6TBQauF6OqDbML9557gwcL1bCBCNkzZJ685uZ+f/+a1PtMtnP/Tmpu+8OfyGscbJ/9rmm14YJZcilxOB0iRePZMmUGmzrSZ9mbieEoDVhENEVjmQqfPfgDG++Yj19Z6lSdMv2Lh4fzHAkW6Mr9eochpSSo7ka+aqN6foYqsBQBWgKPekIrXGDuYpJsWbzR98c5Ffu231OlZKWYqbU4LHBOV4YK1C1XSKqQn93kr27utnTt/QsyHtv3MxkocEPxgoMzlZojeu0xnRURWA6gSqW4/vHk61sxWZj28kbVcv1mauY2K5PRbqMzNXY1Zs6ydMBoGK5+Ej6WqO8bnPbOXv+nnx1PNr1fCTQ1xKlZrlUTEnV9jBUBV2d12mSEtvxGcvX2dQW58ZtHezddX5lv7vTUX77bZfz7JEcjxzMcCRbxfUluap93BPjWLtfIqKzI2Vw49YOfux1G5o29RvJ1nhmJMdUqcH2BZI+IQTpmE6/rnA4U+XZ0TzDc1W2d6fO+fO9mAgTjJA1i9bRQfL2vVQfenjZtdaBA1S+9W3S99y97NqQ1UntmWeoP/PM8guB+HXXYWzZsrIBhYSsIp44MEO2atGejC7pnB0zNFriBvmqxRMHZ/iJm7ad1ePtWZdma2eSTNlkIl9nY3scIQSFmkOx5mC5PnFDRc57O8QjCt2pKPGIRjqmM5arczhT4f6nR/mVe5tTBTxbXM/ny8+O8eCBWfJVi8K8g7YiBPumSjw5lGWgN80v3LFj0RmLuKHxiXsG+MJ3R3j+aIF81WKmbCGlRFcVOlMR2mIGmarJbNlkW2fitOHi7lSEiulQswI/h5rtkq+dbJBWtdxA3rY9wZ27e85pv7+hCizHY3jO5tgoSKAOpeFLsBwPx5dYlo9E4vmSmB4Yut22s5uffeO2c9qy1XTcmsItO7q4ZUcXpuNhOh5RXUVTBC+OF5kumfgycHm/dnM7yciZbW0fPZghV7VojxtLtj5FNJWOhEFu3sAvTDCWJkwwQtY0be96d1MJBkDmj/6I5O17USKry+0yZHmk5zH7h3/Y9PrWd797BaMJCVldSCnZN56nVLfZ0dey7Pq2RISJfI2Xx/JnnWAIIfjZW7eRrVocnq1weLZKR9IgW7GxXA9NFTiuj+tLYoZKbzp6fB5EEYKN7XEOTpc5MFVmfD5BWQmklHzhu0d46MAMY/k6LVGdTe0xDE3B84NWpJG5GoWaTdVy+bV7dy/oKA6QiGj84p07mSo2ePxQhtFsDduTJCMa125uI1e1+KunR0lGtAWVi1piOn2tMaaLQatSzfaYLDYwVIEnoVC3aTg+m9rj3Larm7dese6cvQ4vjRd5YihL2XSo2x6aoiA4JknrYWgKyaiOpkDd9rFcD9eX7O5L83tvv4LtiyiQjWZrfOfwHBOFOp4vaYkFw9nXbm5bkWQkqqsnJQHXbWluxmIp9k2WKNQd+rsSy65tTxgMZWr8cLL0mh/3YidMMELWNImb34CxbRv2yMiya52JCbJ/9md0/9IvnYfIQs4lhf/7f7H2H2hqrdbdTequN69wRCEhqwfHk9iujz9/mr4chqbgej4N+7UpFG3tTPKJewb47COHmSjUmS2ZZCoWni/RFEFEV0nqKj0tUXrT0ZOuVRVBa9wgX7N5aijLu67f9JpiWYynR3I8NphhLF9na0fipHkRTYGedHAqPZKtsX+qxF8/O8aH925f8p7rWmO85/rTpc//4JsHKDUcupKLH2L1paPoimC61KBQd2jYHpmqja4K2hMRulIGdw708OPXbjxnsqj7p8r88cOHmMjXESKQolUViOnavB+GT83y8CV0JQ129cQZmquyqT3BR+7Yzo6e9Gn3zNdsPvedYfZPlchWbWqWi5SSiKby3cNZ1rfFeO+Nm7l282tPAFaauu3i+v6SQ/fHMFQF1/dp2B5yfhA/ZGHCBCNkTSMUhY6f+/dM/+dfaWp97v98nvTddxMdGFjhyELOFfb4OJnP/HHT6zs+8H4UY+VlFENCVgu6Kua9GoIB61N7+k/F8yWqEEu2UjVLf3eKT73jKp4dyfMP3x/nO4fmMB2PlrhBW1ynIxHBWMToLBFRKdUd8jUbz5dMFRvUbZeortLXEmtqw7ccDx+YZaZs0peOnjaMfgxNVdjamWBwtsLzo/l51+4z/x3SsINTf01d+vXvTEZoT0T44WSRZETjjoFuOpNRdvYkeUN/56Jxng2+L/mLp44wMlclEdHoa4kykq1RtdzjlQtDU9EUSc3xmC6b5OsOG9vjXLuljZv7T1fiy1Utfu8bB9g/VSJft2mPG/SkowghMR2fqWKD6VKDfM3mg7f184YF7rGaiOgqqiJwPYmhLf3eufOD5RFNCZOLZQgTjJA1T8t995H9X/8bZ2xs+cWuy+THP87Wr34VJRZb+eBCXhPScZj6+H9CNppzs1Xb22l9Z+iZGXJpIYSgvyfN0WyVYs2iIxVdcn2xZpGO6/QvcDJ9NkQ0lTfu7KI9EciezpZN+ruXV4eSMvgYnK3wyX94iemSiev5qIqgMxnhlh1dvGl3z1lt9gHG83UOzVao2y5blmnB0lWFVEQjV7V4cijLj1x15u1JMSOYC3C8ZqzoJJoQbG6P89E7dp71c1yOH04WGcvXsV2fbZ0JhBBs7Uwwmq1hzqtHQWCi5/sSW0paYzq3bO/kI7dvX7DN6c/nKxcVy6U9blCoO8yUzfnqiKA1pgOCoUyVL3x3hP6uJD3ppb8nLyQ7u1MMzpQp1O1l4yzUApnfnT3h/MVyrE63kJCQM0DoOt2//B+aXm8PDTPzX/8rUp4PP9KQ10LmM5+h8dJLTa/v+sWPosTPjyJNSMhq4tbdvXQkI+TmW5QWw/F88rVgGPzW3b3nNIbudJSortJwvCVjOEah5lCo27wwVuCZkRwjc1WmSyZHczWeP5rn/qdH+Y1/epnBmfJZxZOpWDRsj4ShNdVulIzq1G2PTMU8q8e7bF1LMEBfs5ddW244RA2VTR2J47KxK8HTwznyNYuOpHH8xD0d1RnoS7OxLU5rXCcRUYkZKumohq4qdKWi/Ps3bltwjuRItsorU2Vmyialus3QXJVMxaRYdyjUbLIVi7F8g7mqiev7zJZMHj2YWbHndy64faCbzmSEbNXG9fxF17meT7Zm05mMcPsZGPhdqoQVjJCLgtQ99xD7y7+i8eKLTa0v/cP/I7prgPaf/qkVjizkbCl97Wvkv/DFptcb/f20vuMdKxhRSMjq5eotHWzrSVOq24zOVdjUkUQ/pcXIcjzGslU6klH2bGhle++5qWAcoysV4YoNLUwWG+SrNl3pxWcR6pbLTLmBIgQxz2d9W4xkJJB0lVLScDxmSiavTJX49IOH+LX79hwfBK+YDk8OZXl6OEeuZqOIQG71jTu6eP3W9hO8D87sEOlYCnK2Z09v3N7JP70wyUyxQW0Bf5BjeL5ktmLRk45y+67uFW21KdZtTMen7ZTBdUNV6GuJ0pOO4ng+UoKqCkYyVeKGSrnhLCjz+tjgHKO5GhXTXTCJlIDleliuR9zQsJwG3x2a48ev3bBqHbAvW5dmd1+aUsNheK7G5o74aWpSluMxmq/TFjcY6Etz+brlxRQudcIEI+SiQAhB72/+F468451N+WIAzH7qU+ibNpLau3dlgws5Y+rf/z7Tv/4bZ3RN72/+l9CtPeSSRVMVPnzXbj7z9X0MTpc4PFMiGdWPKzdVGw4N26W7JcZlG9r4uTt3r8jG9s7dPbw4VmQoUyFqKKSip5/Ou57PwZkKELQm7exNneQiLYQgbmhs7Uwwlm8wkq3x1e+P8x/fvIsnDs9x/9OjzFUscrVAsQoCGdkfjBVY1xrj5/duZ6A3TUciQkRXqdunO1UvRNUK5j86k2fXrtQSN3jT7h5KDYcjuRobWmO0xPSTXmfT8RgvNIgbKtu7kty8fWXnExRFIASLVuwVAZETElGJRCAWrfgcmi0zXWrg+UFCpiic9LpKGbiQQzA8rSmC2XJQ4ThRjnc1IYTgo3fsoOF47JssMTRXJa6rx528q5ZL3fHoSUW5bH0Lv3TnjnM2gH8xszrTyZCQsyC6ezcdH/hA8xf4PpP/4ZepP//8ygUVcsaYBw4w/vMfRjpO09e0vutdJK6/fgWjCglZ/XSlY/ynt13JPVdv4LINbSSjGo7r4bgerQmDyze28yPXbuJjP3IlqdjKtOVcvbGVey7vZWtngvFcg6PZGhXTwXZ9zPmqxOBMZf70W7CrN7noxl8IwfrWKMW6zUvjRf7xhQk+9/gw+6ZKFOs2PakIAz0pdvWkaI3pzJRMXhov8t++NcjgTJnNHXH6uxJEdZVSY+nfJ67nU244tCeM1zSU/M7rNnLHQDdbOhJkKjYHZipMFBpMFRsMz1UZmquRjmlcuaGVX37zziV9F84FfS0x4oZGxVxeMeyYNG0iqtK5iBLWc6MFjnURaYo47b0TgpNEBjxfzg/xL956tBpojRv86r17ePs1G7hqYyttCQNPBkPdrQmDKze08qPXrOdX793dtIHfpU543BdyUdH5kQ9TeeRh7KHhptZL02T8gx9i4//5P8Rfd80KRxeyHObgIGPv/wB+ufmea21dH90f/9gKRhUSsnZoTUT42TsGKNZtnh+eI1+1AOhKR7m+v4vEAhWFc4kQgv+fvTuPr+usD/z/ec4599xVV9LVLkuW9y1xFjt7QhInEEIolC0tbQqlFGgLDLRlptP+YH6dttN2pr8WSstW1lKWtkNbyrQDJYTESci+Oot3WZIXbXfV3c/6/P44kvAiyZJtWbL9vF8vEEh3ee6VLD3f83yX+27oI2oafP+lYbJli9FCHceTaBo0REK0NURIl+oYejB7YS6GrtEYDZEuWXz50UPkJwfTnbwBTsWDrlVHCzX6x0t84eF+/uwdV7JjUwd7R0sczlaJnjRDYYrvS4ZyVVJxk6t6m2g/i4JkXRP8+m1rWd/ewAN7RhnMVkmX6lQtDyGgMWJweXcj/+mO9XQ2Ln6jkVvXt/Gj3aPsHyvRkYzM2WEsU7ZJxcPcsLplxvepULUZLwb1KZrgpzllM9CEwJ1MoSrWHOIz1HMsN4mwwa/cvJp7r+nlmYEs6VLwb6e1Icx1q1sWPMDvUqfeLeWiooXDrPiLTzJ4771I+/SFdgB+pcLh972P3s99lvgNNyzyCpXZ1F56icPv/wD+xAIGGOk6K/78L9AbVEcPRTleU8zktVtXLMlzCyF4+/Yedmxq55H94zw/lKdieYR0warWOLGwzj89ewTLnd9V7UhII1O20SZTp2a7ui6EoKcpyv6xMsfyNZ4fyvOada28eDiP6/n0p8uk4mbQOndq0F7NJl2yiZk6GzobuO+GU+dbnMnrf+2WDhJhnS89eoicJkAE6UOuL9k3VuIP/v1Vbt/Qzs9d07uo07FXtcbZ0pUkXbIYyFZY3RKfMcjIVmwmag7r2xPcubljxsd6eiD306oWyZxzIETwkpEEQZe4gFKKEmGDHZtmfg+U+VMBhnLRiWzcQMfHP87o7//+vO8jq1WOvP8DdP3pn9L4M29cxNUpMynt3Mnwb38Mv1pd0P3aPvIRdfKkKMtUKm7ylqt7eMvVPSd8/tEDaXRNw5fzCzA8HyqWi6YJepvnvuovhKAlYZKtWDx6IM31a1r44I51mIbG4/1ZsmWL/eMlfF8iCToqdTdFWdMa56Ov3UD7aVr8ztcDu8f4+hMDDGYq+FLSmggTngpqKjbDk4Xwo8U6H7lj/aIGGe97zVrGSxa7h4vsHS3REjdpjIbQBNQcj2zFxvZ81rQl+MXr++hrmXmidb5qc/zBhWT2Q4zjaz7iYYPj4wvPl+w6WuCpQ1kmag66JuhpjnLrhnZWNKn28RcLFWAoF6Wmn7uX+p7dFP7hH+d9n2Dmwn/GPnSI1g9/CKGpEqXFJqUk97dfZ/zP/mzBrVuS97yBlg+8f5FWpijKYulLxUhEDIYnaqctvpZSUqjawZVyCTHz9DULDRGDdMlifDLFJWzofPD2ddy1pZMH947z4pE8dcdH02BtW4LbN7ZzTV/qnAz2A9g/VuIbTw5ycLxMWyJM63EtYiEIvKq2y0CmyuMHM/Q0Rfm5axdnkjkE3b1+757NfO6hgxwYK5MpWwzlqkgkpq5PThAP887rVrJj4+ztVzUhCBkauhZ0+pISPCnRBNOvT8ogcJv6da4JaG8IE51Mudp1pMA3nhzkaL5KthwENoIgCPnByyNc2dvMr96yWtU5XARUgKFclIQQdH7849iDQ1SffHJB98187nPU9++j+4//GL1RtaJbLH6lwugf/hET3/vegu8bufxyuv7kT9QkVUW5AK1sibOxI8nRfI1s2Z6zu9BUcXLE0PDnSMmZIoGy5VF3PUYmauweLrKpswFNE6zvaGB9RwNSShxPEtLFovwO+eEro4xM1GiKhmZ9bTHToK8lRn+6zN8/HQyJbYqZXNHTuCi1Ge0NEX7/TZexb6zEzn3jHM3XcD2fxmiIa1e1cNO6lhnnXhyvuylKazxMue4yVbPtI/Gn0qUIAgtNBMGIhyQS0njN+jaEEDwzmOMzDx5gMFPB8X1a42FSMRMfSbHmsHe0RLZiM1asq2Lqi4AKMJSLlgiF6Pn0XzL0rndj7d+/oPuWH/gxh3bvZsWf/4VKwVkE9T17OPZbv409OLjg+4Z6e+n53GfRIst3MqyiKHN7/eWd7BkpcjBdDqY/z7CZLFsuR/JVVqbiuL7PyESdmu0RneEUw5eQLtXJlG1KloPrSfaNlvijf3+VlakYOza189rNHU/p70wAACAASURBVBi6hhAC01icixP5is3zh3NM1Bw2zjHtuVBzGCvWKddd9o2W+MxDB2iOmTTGTK5Y0chbru5h3TymoS+EEIJNnUk2neH8k+19zaxti3M4V0FMtr/VhDY9RyN4EjB0ge8HgUdzLMy91/QyXqrzxYf76U+XSUYMOpPxE4K7ZCREZ9LnUKbCK8cm+OIjh/iduzedg1etLBWVA6Jc1PTGRnq//CVCfQs/fnaHRxh617sY//Sn8edZMK7MTbou2S9/mcGff+cZBRdGezsrv/oVQu1qiqqiXMiuXZXiZ6/qZm1bnJGJOgfGSmTLFsW6Q65i058uM5it0puKc/umdt62rYdU3CRTsU55LM+X9KfLHMnXyFct6nbQsSmkCwazFR7vz/CVnwzw6R8fmJ6bca7Yrk+uYlOo2ni+5HCuStlyiYb0WQfLjRbrHEqXyZZtXF/i+hLb9anaHntHivzw1VH+9Ae7eW4od07XerYiIZ3bN7azqjURpEERvPdhXSNu6sRMnWhIw5fg+JKGiME7r1tJW0OEnXvHGSnWCBsancnIjCdHhq6xpjVOtmLx8rECh7OV8/4alXNHnWAoF71Qezt9X/saQ7/8HpwjRxZ2Z88j+/kvUPrh/XT9jz8itm3b4izyElDfvZvhT3wCa/eeM7q/0dbGyr/9GmZv7zlemaIoS+Hea3ppipn8n13HGCvWyVcd3JqLrjFZF2Dy2s2dvG1bD2PFOvfvHmP/WIl81Z6eTC2BwWx1cmK1h6FpCEOSjITY0N6AEFCsuxzJVfF8n5ip8xu3rzvrtR8cL/Hg3nGeGchRdz0E0Bg16WmOYrk++iypV7lqUOBdtT1MQyOk63i+JBEOsTIVw/MlI5OzQj6/s5//92fCrJyl6HopvOXqHvrTZaSUDGQqCAGOlFiORBLUZQTvRYi7L+viwzvW4Xo+jx7IkCvb9LXE5kxLM3SN5phJtmyzc3+ad9+4fF67sjAqwFAuCaHubvq++Q0O/8p7sQ8dWvD97UOHGPrF+2h861tp+83fJNShrqDPl5vPk/nMZ8n/wz/Me8r6yYzuLvq+9jXMvrNvIakoSkBKyZ6RIjv3pdk3WiRXsSnVXRqjIVa1xFnTHueW9W2saY0vSq2CEIK7Luvkto1tPD2Q4+VjE9Rsj7ChsaGjgZvXtRKfnD3Q3RTl567p5dtPDXEoU6FUd2mJm3hSUqhaVB0PQwh8JHHTYGUqNj1tuTEaImxoHBwv83h/hjdu7TrjTbvvS7799GH+45URMmVrsrNS0JBVE4I9ozqZso0uxCltXCUwVqxTc4LXaOoadSc4bTH04Ha6FgwXPJqvcSRf5f++PHJOAqJzxTQ0fut1G2mMmTzen+Forkq2YuPiI4RGzNTpaozy9m09vOvGVQghyFWD90nCaes8IPh+jUzUOZJbWFdBZXlRAYZyyQh1dND3zW9w5AO/Rv2VV87oMSa++12KP/whLe/7VVp++ZfR4urqymx8yyL/rW+T+fzn8UulM34cc80aVn75S4S6u8/h6hTl0jZRtfnMgwfZPTzByESdsWJ9OpdeCHh6IEsyEuL+V0bZ1JXkvbesYcVpWsSeqbCh85r1bbxmfduct3vj1i4E8J3njpAt2xzOVylUHSzHQ9MEpqERNjRWpuI0njSpPBLSaY4HV8Yf2jfOL9+0+ozW+vfPHObfdh1jMFuhJW6yob1huvtU1XZJlywsx8OXMDJRp/u4tqulukvN9pASQro2XWweC+snrFcIQUcywv7xEs8O5ihU7WVV8BwJBV253nLVCnbuG2f/WAnL9YmGdK7oaeTWDe2k4j9dr+sFnaXmOwpDE0y+N8t7+rcyNxVgKJcUI5Wi7+++zvDv/h6l++8/o8eQ1SqZv/pr8t/8Fi2/+l6af+EX0GKxc7zSC5dvWRS+809kv/Ql3LGxs3qs+E03seIvP4WePLOiREW5GBSqNkPpMpbrEwvrrO9IEp5h0vJ8lS2XP/uPvew6UmCsVMd2JgMLBCFD4MugLqBYd9l1tMB4yWJsos7vvGHTkqbrCCF44xXdXLsqxc79aZ7oz/CTgxlczycVN2lLhEnFzVlnSqRiJoPZCi8dXcAwz+McSpf5j1dGGMxW6EvFaYicuIUKOkMZWK7PaLHOYLZKa0MYc3I9Zcud7l6FlFiuj6YJ4qZB/KTCddPQiIV0CjWHA+Nlrl2VOqM1L6bupii/eP3pT5WT0RAhTeB4Etf3MU7TAr7m+JiGdkqQqFxYVIChXHK0WIwVf/kp0n/912Q//4Uzfhwvl2P8//tzsl/6Mk2/8E5S992H0dp6Dld6YfEKBfL/8I/kvvVNvHTmrB+v+b776Pi930UY6teUcmkaTJe5/+Vhnh/MUqw6+FJi6IKWRJgb17dz19ZuUrNMtZ7L/376MC8fm6BQtdERuH6QOJ+I6NMpPb4vqdoehtAo1R32jhb5qx8f4E/ffsWsxcvnS3syws9d08vbt/Xwq19/mpePFtjSlTxtGpdpaLi+pOacWarmQ/vGyZQsUjHzlODieGta4+SrQQH3npEiq1vjNISNYLiflAgBddfH8yXxsEF30+xFz74vqZ/hepeLRNhga08TR/M18hVnzrbEANmyRWdjhOtWt5ynFSqLQf3lVi5JQtNo/+hHiWzezMjHP3FWKTxeoUD2818g9+WvkLznHpp+7l6i27ZdEjMapJTUX3mVwne+w8S//RuyVjvrxxTRKJ2f+ARNb3/bOViholyYnjyY5qsPH2AkX6NQtYmGdHRd4Lg+R7IVjmSrPN2f4SOv38yqtvm3My3VHZ48lGW8WKc1EeZoPhh2FzP1E35naZogHNKCUxOhU3d8juSqPDeY44a1S3chxZ1MmzF0DU0E6VWaFkzInqpjmPW+vo8mBOEzGKjnej5P9GdJly36UnFsz58+mTiZoWusbo0zmKmiCcHIRJ2jvsT2fOzJNLRISCMRDmZhNERmvlLveD66JqaH1F3Ibt/YzrODOQYyFRoiBpFZXlO6ZCGBzmR0WZ7aKPOnAgzlkpa86y4iWy5j+GMfo7Zr11k9lnQcJr73PSa+9z3MtWtpeutbSL7xjYS6us7RapcPN52m+IP/oPDd72LtObOuUDMJb9zIik99kvCaNefsMRXlQrP7WIEvP3SA/vEiiXCIDR1JQsdtimu2GwyRO1bgr364h4//7BW0nOaq8JSnDuXIlC1ipkGp7mK7PqHJ2RAnC2kalvSpOz7tyRCZssXOfenzHmDkKjaP7B/n0QOZoFhYQnPc5JZ1rfQ0R+lPl8lXT39lPF9xaIyG2DDHfIqZHM5W+L8vj/DC4TylusOhTBkhBA1hg5ZEmKZYiJPfvcZoiHhYZ01rghXNMYYLNSZqNo7rY7k+3Y1R2hrCs260bdenZns0xUw2dC5svcvRtpVNXL+mhbrr0Z+u0JEM0xwz0ScLM+qOR6ZsUaq7rG1P8AvXrzxnk9WVpaECDOWSZ/asoO+b3yD92c+S/dKXz7jT0fHs/n7G//wvGP/zvyB6zXaSr3sdiR07MFcufB7HcuGMjFB66CHKDzxA5cmnmB7lei4IQfO7fon2j30MLbzwlA9FuVhIKfmXZw5zJFuhMWrOONU5ahqsak0wlCkzkC7xw5eP8Ys3zS8oHy8Fw+oSEYPRiTqeL4mas2zkRNDVyPMlYUMnX6kzkCnzwO4xhnIVXC+YdXDd6hRr2xKLcmr78P5xvvHEEOOlOtmyPT3HImzoHBwvYeoauiZIly2a46FZ8/sdzydbsVjb1sCOTfPvAvjjPWP83RODjEzUKdVdXF9StV2kFNQdj4m6Q3PMpK8ldkJrWimDU6BVbXH+x89unZyP4fD5nf28dKxAJKTPGlxIGbSqTcVNrl+dIjnLCceFRAjBr9+2FiklTw3kSJfqjEzUMQ0NKcH1JS1xk/UdDbznplXctISnZMq5oQIMRSGY+t3+m79J8u67Gfn4J6i/+uo5e+zas89Re/Y5xv70f2KuW0vi5luI3XgDsWuuRU8s3y5Ufq1G9bnnqT75BOXHHj+nJxXHM9etpeuP/ojY1WpiuqIMpMv0jxWp2S59rbP/ftCEoKspxqF0iScOpHnrNSuJzqMF6BQpg3qAoL/PPG4PVG2PFw8XSE9eaZYSQobG/315hHVtCd553Uo2d527hgyPHkjzpUcOcShTJhrS6WmOThdDV+zginfadgGBoQkOpSv0tcQIGydu3OuOFxRcJ8Jc3tM454Tt4z1+MMPXHhugP12mIazTGA1OfSIhDV0LJljXbA/fD4b/rW6NT59kFGsOcdOgKxkNAo3J7+V7bl7Npx/Yz8F0GV9KWhPh6av4EARCIxN1bM9nbXsDb9h68ZyAR0I6H71zA88O5Xho3zivDhdxPB8BNEQMblzTyp2bO+hNqaYpFwMVYCjKcSKbNrHqH/+B3N99g/RnPoOsnts+3PbBfnIH+8l9/eug60Q2biR61VVEr7qSyObNmKtXL0lRs/Q87KHD1Pfspv7SS1RffJH67j3gOIv2nMI0aXn/+2n5tQ+gmcunBaOiLKWXDueDtqRxE+00JwKRkI6p6+TKFvtHilzZd/qc9dZEkJZTrDuTdQwCX8KM5QsymNRsGhqjhRqW6+H6PtGKTlM0hCZEkPIyXmakEMxt+NCO9Wzvaz7DV/9TxbrD3z0xyKFMmbZEmNaTitkTYYNE2CBTthgt1vGkoCka4sB4mZhpkDB1JEHnprrj05EMc0VPEx/asW5eJy2W6/H3Tx9mIFOhvSF4fkOvUXd9bFcSDcnp05Oq7VGo2kzUTJqiIXwpyVZs+lri3LrhxNa7165K8Us39PGtp4Y4lq+xZ7RIMhLC0AS251OuuzTFTDZ2NvDhHevpab64NtuaJrhudQvXrW4hX7Ep1GwMTZszXUy5MKkAQ1FOIgyDlvf+CsmfeSPpT3+aiX/5bnDefa55HvXdu6nv3k3+298Onts0MdetJbxqNebq1Zh9Kwl1dWF0dWO0t53VRlzaNm4mgzMygjM8gn3kMPbAIPbAAFZ//zkp0J6v5D330P6x3ya0YsV5e05FuRBULBfXk/PebIWN4Ep6xXLndfvrV6f438+YDBdqJKMhylZQhxE1T30+1w86Hvm+pDg5v6G7KTp9NX5KRzLCyESd/WMlvvDwQf7oZy+fMbVrvqSUfPvJIV45NkHFctGFoGy5092bjg8QWhNhSnWXWNhgQ3sDJcshU7aoO0EKZzARPMzN61p5x/aeeQ16A3hmIMdosYYumA5uWuJhxksWZdedLvLWRTB/w3J9smWbZMRgKFslZhqsao2zdUXjKY999+VddDZG+P7LI+wZKVKsu/h+8D1fmYqxbWWKN1/VTd8ymuC9GJrjJs1xdXHpYqUCDEWZRai9ne4//mNS993H+Cc/ReUnP1n055S2jbV7D9bumdORtHgcvaUFPZFAi8XQ4nGEGQLdQGgaUvrgekjHwa9W8SsVvHIJL5c/q05Z50r0mu20f+xjKh1KUWZhGhpCgDfPGifXl+iawAzNryC2MWZy7eoWxibqZKs2IU1QcX1czz9hfsRUe9TwZGtXx/NpiIToaoyc8piaEHQ3RjicqzJcqPHjvePcN4/5CDMZylb4m0f6+fGeMbJlG00T2GULXQiyZZuoGWzCE+Gfbl9aEybDE3XCIY0/+NmreHogR7ZsgRC0N4S5bnVq3oHFlKcHc+QqNi3HnZyYhsbKVIzBbJWq7eJ4HqYRdLOquz6Zcp26E9S3bOxo4IO3r5ueJn6yq3qbuaq3mcPZCgfGy1iuR8w02Lqi8YTnVM4/KWUQSFoupq7RkYyogvMzoAIMRTmNyJYtrPzyl6g+/zyZz3yWyuOPL9la/EoFv1Jh8RKXFkd0+3baPvRBYjfeeEm071WUM7WmvYFk1ORYrkJbw8zzEaa4nk/VdlkZibO6df6dht55bS+HxsvsOlqgarmENEHN9jANMHRwPbA9n7AukFJiu8Hgs66myKwD/oQQtDdEGMhWePxghrdv61lwystApsz/+sFeDoyXKFQdpIRYSEfA9PwKy/VwPJ81rYnpWRTxsDHdhSgRNrhzc8eCnncmxZqD7fpETgrcmmNB6tqRXDVYj+PjS4nnB1O5u5sibOpK8hu3rZtXLcHKlviSDi9UfqrueDx2MMND+8YZylZwPIkuBC2JoGPZHZs7TknVU2anAgxFmafYtm2s/OpXqL30EtmvfY3SD+8/t52ULjZCkNixg9R7fpnYtdeqwOISJKWkPjBA4ZGfUDvYj2/b6NEosS2babr1FsIXYQvns3Xlyma6m6Mcy1co1hwaY7OnkKRLdZLREFeuTM27TS0Epxj/5Q2b+PQD+9k/UuRQpoJd86nZLpIgT16frM0IhzQcX9LaEJ7x9OJ4UVNHE4J81WZ0on5KKtVcHM/nMw8eZP9YCU1AQ9igWHfRNYEg6GZl6oK6G6SDDWYrbOlKThdIC8QprWLPxlTrXn+G7Ni4qdMUC2EVfRCADIrgBZAIh7h1fRvdTWeeIqacf7mKzad+tI/dI0UyJQvL9QjpwXyVgQwMZCo8uHecD+1Yx9aepqVe7gVBBRiKskDRK66g51Ofwj56jPy3vsXEd7+LVygs9bKWDa2hgcY3vYnmX/olwmtWL/VylCXiVSoMf+VrVF5+FSeXwysWkZ6PMHQqe/aSf3AnjTfdSMcv/jxa6MJvw3muGLrGXVu7GSnUGEyXAUhGQycE6L6UZEoWhZrD+o4G7traveDnaU2E+f03XcauIwV+vGeMFw7nGStalCyHWMigORaiOW5SczyGclU6kuFZLxJUbZds2aZsuRRqDo7n870Xj/Hz1/bOuxbj2cEch3NVbNdnfUeCulumYgf1KKHJCnQhBBFDo+p4WI5HvmpP12BETZ325NwnPgvRO5mGNVFzTkjHsl2f/kyZct3Fcn00AbqhId0g2BjIlPnqYwMcGCvzG7evPSHtbCGklFjuT4fyzfW6gvkk4zx/OE+57mIaGqtbE9y+sW1eE84Xi+dLdg9PkC5bSBn8zF3WnTzj92SxVG2XT/5oH88N5SnWHDqTYZKTTQymvj5WtNg9Ekyz/69v2My69vkPt7xUqQBDUc6Q2bOCjv/6O7T91m9SfuAB8t/5DtUnn1qcgvALQHT7dprufQfJ178eLaqu3l3KvGqNI5/+DOVdL+FkMoSam4n09SEMHd9xcPN5agcOBnVC1QrdH3gfQlcdZKbceVkXw/kaP3plmKPZCmPFOk0xc7rTUL5iEQ7prG1v4N2vWceGM2wNa+ga21el2L4qhZxM86lYLtmKDQQbwm8/PcQ/P3cUxzv195rnS4ayFSZqDrbn43hBrYbnS77/8gjPHc5z24Y23n3jKkKn2VQ+vD9NtmzRmghSkFJxk2LNxfY8DN2YPp0QQmDqGrYXFFW3xE0yZYuWhMmt69vmfI6FuG1DGz/aPcr+sRIdDWEMXcOXkoFMcLLkepJYSEfTBDXHI2rqrGiKkggbHM5WedgfpyFi8J6bF3aRJVu2eHh/mkcPpMlXg+9DIhziprUt3LGp/YSAzfcl//TcEb7/ygjZsk2+auN4wbTyl45O8NjBNBs7k/ynO9aTOo/F1Lbr88NXR9m5b5xjhSo1O5hdEg3pdDfHuG1DG2+4vGvZ1DU8sGeMV49NUKo5rGuPnzJLJWYarGrROVaocShT5u+fHuK//cxlS7TaC4cKMBTlLGmmSfKee0jecw/O2DjFH3yf4vd/QP2ll5Z6aYsuvGnT9Gs3e1RHKCWQ+bd/p/LKq7j5PNF1a084odANAz0axWhOUR8covjUM8Q2baJ5x21LuOLlRQjBu25ZQ1dTlB++PMxooUqx5mC5EkMXrGprYFVbgrdds3JerWnn+5yGLmiMmSekZV3d28yDe8YZLtRoiZvTV8M9X9KfLjNRc6i7PqYWbPxB0hg18KVk30iRiuVSrrt8+I71J8x7ONmxQo2K7dLTHGygUzGTkVAd2wvqLsKGPh1kGJqg6gRF6COTwwI7khFuWnfuhrP1tcTZuqKJbMXmUKbCmtY4xbpL2XJxPEnC1EEILNfDl5KYodOaCBM2NEK64FCmws7947zxiu7TThif8uiBNH/7+CDpyaGCtusjJocdDmbK/PDVUe69ppc3Ts7G+LsnBvnBKyMMZqskIwYrmqJEjCCtp1BzOJSukK/YlOsOH3/jFprmSLc7V+qOx6d/vH+yC1cdKeX0CVCmbHMkX2MoW+HV4Ql+87UbFlx8f665ns/OfWnSZYvupuisgxqFEHQ3Rtk9WmT/WImBTJnVreoUYy4qwFCUcyjU0U7Le95Dy3vegzM6SnnnTkoPPkj1yaeQtr3Uyzt7oRCxa7bTsOMOEnfswOzpWeoVKcuMV61RfOIp7LFxoqv7Zk1/0qMRwt1d2GNjFB5+hKbbb1V1OscRQvC6rd3s2NLJC4M5Do6VsFyPeNhga28zG89T6sv2vma6m6IMT9TIVuzpItfRYp2JmoPl+pObbahaHpGQQWdjlLZEmJrtcShT4bH+DJu7ktx1Weesz+P5Mph+PfmadE3Ql4pxKFOharu4dtDRx9AFkuC2ZdslUtdY297A+1+z5oRUpnPhA7euIVu2eGV4gr2jJWzPp+54wUmSL7FdD00EV7j7WuKEJ6/Ix0yDZCREtmzz8P5x3rG997TP9fjBDF98pJ/+9IlDBYUQ0ylo+8ZKfPupIQTQ2Rjh/t2jDGar9KVi0wXvEBTqd4R0WhImA5kKu0eKfOOJIf7TnevP6ftzMiklX3yknyf6s4wV6/Q2Byc6Uz+nUkrKlseRfBXX8/nCzn5+63UblvTffX86mOESBEJzn6JqmqA5ZpKr2DwzmFcBxmksqwBDCNED/CFwN9ACjAD/CvyBlDI/j/vfDjw0j6daKaU8ctz95sppeUpKecM8HlNRThDq7KT5ne+k+Z3vxLcsai+8QOXxJ6g+9RS13bsXdYjdOaPrRDZtInb99cRvvIHY9u1osYtr8JNybpWefx4nk0GLhNEicxcF68kG7JFRrCNHqR04SGzD4m6ALkSGrnHt2lauXXvurs4v9PnvvaaXTNni4HgZx/NJTW6yLNcnGtLxJdRtD0PXSISN6XScqbSh0Yk6D+0b53VbOmbdTDZGQ5iGRtX2pjfLjdEQa1rjHM5VsVwf2/Wpu/70BPKYGeKK3mbe95o1bFt59sP9TtYUM/l/7tnMV34ywHNDOXYdLQTzLxCARtTUp4OBZOTEQLo5ZjIyUeeVYxOnDTAqlsvXnxjk4HgQXMTNoCuWAGKmTsw0iKUM8tXgNOU7zx1hZSrGWLFOR0P4hODieIamsaolzt7REs8dzpEuWfM+TTkThzIVnh7IMTJRY31b4pSOY0IIGiIGa9sSHBgv89xQnv1jJTZ2nrvp7wtVrAczTSIhfV6BTjSkU7ZcirUL4O/3Els2AYYQYi3wONAOfA/YC1wHfBS4Wwhxs5Qye5qHGQT+YJavbQXeBrx6fHBxnCHgb2f4/NHTLl5RTkMLh4nfcAPxG4JY1bcs6q/uprZrF9bePdT37MXq7wfPW8JFaphrVhPZuInI5k1Er7ySyOWXq3oKZUGcdBqvVkdPnL6DkBACPRHHq9VwMhlQAcaydPO6Vkp1h28/NcRosc4rI0Vqtoc32TpWiGBGREMkxJq2OPpxG7XGqMHwRJAWs3e0xOZZ6kVuWNPC7uEJshXrhA1zYzTElu4k+apDrmxjex5V28PUNd50ZTe/+4bNizoBujFm8tt3bWT38AQf/YcXGJ6o05oI6mGa4ybJSGjG7lWmLvBkcOJxOj94eYRXjxWYqNpUdY102ZrunBUPG7QnwjTFQjTHTEp1l9GJOsP5GuW6S+9pJn2HdI3GaIhc2eaxg2necvXinTo/tHecbNkiFTNnbWcMwXDI1rhJpmLx4N7xJQ0wjMkuZf5M7cJm4EuJEGK68YAyu2UTYACfIwguPiKl/OupTwohPgn8FvDHwK/P9QBSykHgv8/0NSHE30/+zy/OcvdBKeWM91WUc00Lh4ltu5rYtp8OnPNtG+fwYezBQayBAZxjx3BGRnCHh3HH03gTE2f/vI2NGK2thLq6gv+s6MY8bmr46a44K8ppyan/WtgfYKlaPi9rd1/exerWOD/aPca/vzTMULaKpgsiIY1ISKclbtKaCJ9SZyGEoCFsULU9xor1WQOMW9e38b0XjzFWsihU7RPqBXQhaI2btMZNinWHI7kaGzob+LXb1i5qcHG8Va1xVjRHKdQc1rTGp1O5pkgm07wINq2OH8xQON36DmcrfG7nQcZK1mS7Wz9oEQxYbhCgVCyXDidCd2OE1oTJgfEyvoRkxJizrmVKImxQsoJOSIvplWMT5KsOa9tOf3EhFTfZP17i1eHioq7pdHpTMeJhg8O56inDJmcyUXNIxcOsnMeMk0vdsggwhBBrgLsITiA+e9KXfx/4APAuIcTHpJSVM3j8FuCtQA34xtmtVlEWh2aahNetI7xuHTONzJKui5fP401MBAP3qlX8Wg3puOC5SM8DTUMYIYSuIaJR9HgcEYuhNzZhpJoRqh2ossiM5ma0SASvePqNg5QSr1rFSDUTaj73KS7KubWxM8nGziSJsMHXnxhEAO3JMDHTmDucFMEGXM7RYa85bvKO7T1888khDqUrVGyP1oRJ2Ag26Lbrk61Y5CoOq1rjvPnKbrrm2QL3XAg6CcUZzFYpVJ3pNDDL9clWbHIVa7rT1tSmvzlmsmmOq/MTVZtPPbCf8VJQqJ6MGCcUGUsZDO+rTAZnpq7RmjBxfRm8l/PsWCgmZ3X4i9zhsGq7eL6cV3eokC6CEzDbRU6eCiyF1kSYq3qbGC7UyFRsOpOzX2Sr2i51x6c9Geb6NS3ncZUXpmURYAB3TH68X0p5wmUsKWVJCPEYQQByA/DjM3j89wBh4O/mqOVoEkK8F+gEJoDnpJRPnsFzKcqiEIaB0daGLM3QewAAIABJREFU0XbuWjEqyrnWsH0boX/5V+yRUXzbRjNn71zjVSogNMJd3cQ2bTyPq1TORm8qRlM0RKHmED9NFyApJVXLozlmkorPnf//hsu7cH3JPz17hHTZ5sB4eTrdyvMlzXGT9R0J3ri1m7dvO/8NJu7Y1MErwxOMFOo0Tr7+I7kqthfUh8ipgzsp8eVPJ63PtoF+cN84h9LBaYShCbQZTn9MQyAEVG2P0WKdVDxIyRJCUJ2cIn7yacrJKpZLOKTRssitaiOTbXtdT2Iac6/J9YN1h+dZ+7CYXrelk+cP5zkwVsbUtRlb+tYcj8FslRXNUW5d37bk3a8uBMvlHZr6y7J/lq8fIAgwNnBmAcb7Jj/+zRy3uRL4yvGfEELsAt4lpXx5Pk8ihHhuli9tms/9FUVRLnRGsoGGa7Zhj41hHTlKZFXfjDMufNvGPjaM2dlJ4y03qTkYF5BrV6doSYQZLtSwXX/OK9YV20MC3U1RLuueO9deCMGbr1zB1hWNPLh3nKcHslSsoIYhEtK5dlWKOze3s659pjPexXf9mhTrX2mgWHPZPVLEdj1qjo+uCaIhHU0EpwRV28PQg432j3aP0Rw3eetJtQ+u5/PI/jSZsk0yEmJicraGOUNuf0jXsFwfy/UZmagTDxtEQzqOL084TZmJ50vyVYdNnQ3ntI3vTDZ2Jtk7WiJXnfskAILJ2Y3REBs7luZ7ebzLVzRy7zW9/OMzRxjIlIO5KnET09AnW/7alOsuK5qjXLc6Na+uYMryCTAaJz/OlmQ+9fkFz2cXQtxGsMF/VUr5+Cw3+yTwzwQBTn3y9v8VeAfwoBDiKinlsYU+t6IoyqWo7S1vptZ/iMorr1LrP0SopQWjqRGh60jXxcnncTI5zLZWEldeQfOdO5Z6ycoCJCMhrl+dYnSixlCuyprW+Iy1AI7ncyRXpbMxwq0b2uY9wXl1a4JfvSXBfdf3Uaw5SIJi7/NVbzGbsKHzW6/dwJ98fzcP7h2nbLnByYMQuJ6PO1koHDWDSeipeNAm9rsvHOP61S10N/00petIvsrY5JyIzmSYmhPM+wjp2ixF4xqO5zNesuhriXPLulaeGcwxlK0SM/UZ3xtfSg7nqjTHTC5b0UjPaQrCz9aOje08djDNoXSZlrg563BFd3JI4qrWODs2tS/qmubrzVeuoCFs8N0XjjEyUSNfcXBqDpoQJCNBetwt69u47/q+ZTMgcLlbLgHG6Uz9ezuTBMIPTH6c9fRCSvmxkz71LHCvEOKfgLcD/5mg0HxOUsrtM31+8mRj27xWqyiKcoEzGhvp/ciHOfaFL1I72I+Ty2GPjE7+JhfojY1EVvWRuHIr3e9775xpVMrydO81vewbK/Hy0QkOjJdoS4RpipnoWrDZzlcd0pMTtq/oaeINl3ct+DkioZk3zkupPRnh9o3tPDuYx/F8QrqGP5kaFQlpQYekRJj2ZBhNCMqWS7Zs8dC+ce67vm/6cWp2EJCEdI3meJiRYh3b9ag7XtAy9aTnFQJcV6JrkvaGMO+9ZQ0hXcPx0hyc3NC3xMOYRjBxvDD5/ocNjfUdCd5946pFf282dzWwdUUjxZpDf7pCXypG1Dzx+1d3PIayVVIJky3dSS7vbpzl0c6/HZs6uHldG88M5njhcJ7K5OyVte0Jbl3fdl4GFV5MlkuAMXVCMdtPWvKk282LECJFECCcaXH3Fybvf+sZ3FdRFOWSFWptoe93/wvlXS9RePQxagf7kb6HFjKJbdlM0623ENu0ccnzr5Uz0xQz+Z3Xb+Ivf7yfg2NBWsnRQh1tsqC7KRqiryXOFT2NfPiO9csuUDgbLx2dQNcFGzuSQFCIjYCIoZGMhk6oiWiNhxnIVniiP8svXrdy+uc9EtKCYMyXaAJWtcTpT5epWO70xtaYPBVyJ9sBSxkUJb/vNWtIxU1+4/Z1GLrG4/0ZsmWLfWMlpASJJBEO0ZmM0NcS56N3rj8vBfFCCD50x3qqtsdLxyY4lKkQNjQSkaAJQNn6aZH01hVNfOSO9afUnSw109C4eV0rNy9yOtmlYLkEGPsmP26Y5etTzdFnq9GYzS8TFHd/XUpZOIN1pSc/nr7nmqIoinICYRg0bN9Gw/ZtwXA020aYpgoqLhLtyQj//U2X8+xQjof3jbN/rIyUEl0TXNbdyI5N7VzZ07TsNpFnK1+1sRyfZMqYNQ1oStTUcT1J2Qqmnk8FWj3NMdoSYYYmJ5UnwsEAusFsFcvxsL2g5gKC6eaaEMTCOr9w3UquWx10MDINjQ/evpa7tnTw4N5xnj+cx3Y9hBD0tcTZsbGd61anzmtwl4yE+L17NvPPzx/lsYMZ0iVrOjhKxcO0NYS5eV0rb9vWc84nryvLy3L57k5N375LCKEd30lKCNEA3ExwCrHQrk7vn/w42+yL05ma4H3oDO+vKIqiEFzdFOHFmyKsLA3T0LhpbSs3rW3FndwUR0L6vOYzXKg0EXR2mk/X16A1r0QgTjjZMA2NW9a1MpCpMDpRZ3VrnETYYEtXkomaTbZi/7QzFWC5Htetbjkl1UkIwfqOBtZ3NCClxHKDtK2lfP9jpsG7bljFO7b18uxQMEFcSmhtMLl2VUp1YLpELIvvspSyXwhxP0GnqA8Bf33cl/+A4AThb46fgSGE2DR5370zPaYQ4jXAZuCVOYq7EUJsA/adPF9DCHEFwXA/gG8u+EUpiqIoyiXE0LV5F3JfyDobI8RMnWLdoTUxd9BctlzCIZ2WhHlKcfCdmzt4eH+aV4eLHM5VWdEUxdA1mmMmzTETKSUTNYejhRobOhq4Z2vXnKcRYh6D/c6nqKnzmvWqrfqlalkEGJM+CDwO/JUQ4k5gD3A9sIMgNerjJ91+z+TH2cL0qeLu051efAR4mxDiQeAIYBF0kbob0IEvAX8/+90VRVEURblU3Lq+jWcGchwr1EjFzVnnUEgpSZdtWhJhbt1w6ka7JRHmI3eu5y8f2M+hdIU9oyWSEYNIKGiPOlFz0DXB6tYEr93cwZuv7F7sl6Yo58yyCTAmTzGuAf6QYHN/DzAC/BXwB1LK3HwfSwjRTNBidj7F3f9KUER+BcHAvwiQBX4AfElK+X8W+FIURVEURblIbe9rpjcVI122OJqv0dMcPSXIkFIyVrRwPJ+OhjC3znIlf2Nnko+/cQv/8vxRnj+cJ191cNxgtsbKljgrUzFet6WD127uULVLygVl2QQYAFLKI8CvzPO2s/5Lm5zWPa+WCVLKfyUIMhRFURRFUeZk6Bq/cfs6/td/7OHgeJn9YyVa4mEaIgZCQMXyyJYtJLC2LcH7b107Z4vTnuYYH7lzA5myxfNDeUp1l5Ah6EvF2bqi8aIrklcuDcsqwFAURVEU5dLmeD4HxsqULYeQrtHXEp9zWvVSWNee4HffsJnP7zzIkVyVbNkmU7FAQjik09EYoTMZ5T03r2Z7X/O8HrM1EeauyzoXeeWKcn6oAENRFEVRlCVXqjvc/+oYjxwYZ6xYx/GCGRGJsMG2lSlef3knGzoalnqZ09a2Jfifb7uCXUcLPLI/zXjJwvclqYTJTWtbuW51irCxfIquFeV8UgGGoiiKoihLaqxY5y/u38e+0SLpsoVAEAlpeL7kcLbKsUKNZ4dyvOuGVbx2S8dSL3eaoWts70uxvS+11EtRlGVFBRiKoiiKoiyZsuXyyfv38eKRPDXbY2VzjJipTxc1O55PumSxf6zE158YoCFicNmKRnYdKTBRs9E1jZ7mKFu6kqoQWlGWCRVgKIqiKIqyZB7cO8a+sRI122NtW+KUIXEhXaO7KUpI1+gfL/Mn399NRzIyPYxOAImIQV9LnNdt6WDHxnYVaCjKElMBhqIoiqIoS8L1fHbuS5MpW3Q3RuacQJ0I6xwYtynUHI7kqyQjIaIhHV9COlPhaL7GQKZM/3iZX71lzVl3X5qoOTx6IM2zgzmKdZfQZOvY2ze2qdMSRTkNFWAoiqIoirIkhnJVRidq+L4kEZ59S+L5koFMFV+CPzlbYk1bYvrrUkYo1BwGMhV+tHuMppjJvdf0ntGapJT8+0sjfO/FY6TLFvnJkxJNg8SRAo8dTLOho4EP37H+tJO8FeVSpQIMRVEURVGWRNVycTyJaWhznghkKzYV20VKMHRxym2FEDTHTEK6xlC2wv27R3nD1q45g5bZ/PPzR/nn544ykKkQM3U6kmEiho4vg+naA+kK2YpNsebwiZ+5bNm10FWU5UAFGIqiKIqiLAnT0NBFcEIxGykl2bKF7fmE9CCwOHly9pRE2CAa0smULH5yIM3dl3ctaD27h4v86wvHGMhU6EiGcbxgIrfnSzQhaIgYrG6LcyxfY89oia/+5BD/+fWbFvQcy5WUkgPjZR7aO86+sRKW6xEN6VzR08TtG9pY2RJf6iUqFxAVYCiKoiiKsiR6UzGSsRAD2SqW4xEOnTo3wvZ86o6H9METPqZhEAvPPl8iFTfJVR1eHS4uOMD48Z4xxop1AI7ma9iej+P5IAEBhZrGWFGjORYiW7Z46WiB4UKN7qbogp5nuSnVHT6/s59dRwtkyxYTNQfPlxi6YPdwkR/tHuWmta2895bVaraHMi8qwFAURVEUZUnETIMb17RyJFdjrGTR2xxFCIHvS/I1h1LNoe76VB0PT0o0IGxopGJBWpLnSxwvOP0IGQJdCEJ6MD+j7ngLWstEzeG5oRzDhRq6Jqi7PoYmiBg6QoCUQbBTcl1cX2JogmzF5tEDaX7+2pXn+q05b6q2y5//cB/PH86TLlmk4iHWtMYxdIHjSnJVm/2jJSqWR9X2+Oid6zF0bamXrSxzKsBQlIuE9H2sgwfxcnnQNUKdnZi9Z1bkqCiKcr68bksHPzmYZt9oieFCDUPXGC9ZWG5weuBLie36+BIMDXQt2BRnK/b0lXYAXQvqMExDQ9cEkRlOQ+aSLtUZLtRwfYnrS+Kmjn58KpYAQ9PxpKRqe4R0QbpkMTpRP5dvx3n3z88fZdfRArmKxYaOBKHjggfDhBVmlJa4SX+6wpOHMlzWnVzwyZBy6VEBhqJc4KRtU3rwIcqPPoJ99BjSskCAFo0RXr+Ohh07iF1/vWqpqCjKstTTHOPXb1vH5x46yMvHCkzUHKQETQRBgy8lcrJEw5dQqDkUjk2gAa6Eqe2wD9QcD9+XtDVE2NTZsKB1OF5wtd71fRLh0InBxXF0EQQvNdsFvDnrR5a7mu3x2MEMoxN11rTGTwgujhcJ6fQ0RxmdqPPQ3nHu2tJ51m2AlYubCjAU5QLmlSukP/tZartexB1PIz0PLRoFKXGODWMPD1Pfu5eGvXtJvfvdCE0dayvKXPzJzaLaPJ1f165Kcc8VXewdKSIAQ9eY+haYhk7EkNiej+v6WI4/+XmNRFhHI7ihL4O0KMv1KdUdqvbCUqTGi3UcLwhm9NN8+w1NIGXw81J3F/Y8y8kzgznSJYtwSCNqzn3ik4wYDBckh3NV9owWuay78TytUrkQqQBDUS5Q0vfJ/M3fUH3mGdxMhtCKFWiJxPRJhfR9vEIBe2CQkvdjtHic5nvvXeJVK8ryU6ja/GTfGE8cGCdbsgBIJcLcuL6d12zqoCmm2pCeDwfHSkRNnVXROLoQuL5ECEHM1GmIGOwbLZEpW1P11kgpEZP/R0qJ50s8CTFTx/Ml3395hDs3d8y7jWzN8TB1DUMTuJ7ENOaIMqQM1qFBZzJyDl790hgv1anaHg3zaOcrhCARNqg6HuMli8vOw/qUC5cKMBTlAlV7+WVqu3bhptOE165FmCf+ERWahpFKIcJh7MNDlH70AA2vfS1Gc/MSrVhRlp/H9o/xzZ/0kylZ5MrWdGFwJKRzYLTI9188wi/dspabN3Qs8UovbkfzVXaPFKlYLpu7kjNO9G4IG+QqNnJyc+/6korjYQiB40uEgGhIpyVhgpRkKxaP7B/nLVf3zGsNni9JRHQqlobl+eiamHEdUkrqro8mgoLztoYLd9ieXGh219TbseA7KpcalS+hKBeo8sMP42azGK2tpwQXx9PjcbR4AjeXo/zoo+dxhYqyvD2+f5yv7jzA3uEJynWHrqYol/c0cXlPE11NUcp1h73DE3x15wEe2z+21Mu9qB3OValYLomIMeOmHqBse2hCEAlp0ylMUgZX1qMhneaYycpUjL5UjNaGCLmKzVMDuXmvoSlmBkXiIY2IoVN1POqOhz+5mZZS4nhBRytfBl2kuhqjNF/AJ1ytCZNISKNiuae9rZSSiuURNTRa1ARz5TTUCYaiXICkbVPfvQe/OEGo6/TdPPRUCnd0lPpLL8Ob33weVnhuyMlaEq9QQOgaRmenOoFRzolSzeFbj/UzMF6iJRGmteHENJdEJEQiEiJTqjMwXuLbjx3iit4UDdHQEq344uZ6El/OPkBPAq7nI5HEzBC65uF6kua4SUvcJBoK0qimUkSjIR3b9ZmoOfNew9Urm2hrCHM0XyMa0SnWg7a0ZWuqxkKiaQJT19CEwPZ8LMfjmcE8hZrDLetaL7h0umtXt9CaOMxwoYblenPOuJh6H7qbY2zpSp6vJSoXKBVgKMoFyK/Xka4LQkMY88idNU2k6+JVKudhdWdPOg7lxx+n/PDD2IOD+JaNEAIRjRK76koa7riDyObNS71M5QL22P4x0qU6pqGfElwcr7UhQrnuki7VeWz/GHdfOb90G2VhklEDU9fIzjG74vjYQ0oIGRqpuEnHDDUQvgxSpowFFOtPzeQYLtQpVG3WtiUoVG0Kk12tIAiAXN+jYrkIIchXHf79pWMkwgbfff4oN65t5Zdu6Ftwi9ylkggb3LCmhdGJOkPZKmva4hgzNAOxXZ8j+SrdTVFu29Cm5mAop6UCDEW5AAnTBE1D+j7S90/fHcp1EZqGFl7+V9f8apX0579A9YXng85Y9TpisjOWrNVwRoapPvc8jT/7Zhrf/GbVflc5I08cSJMrW3QkTz+BuaUhzNhEjccPjKsAY5Fs7krSngxzJF+larvEzBO3J4KgLqZiudiuh+P5JEIGTbOcKBVrDnHTYEXzwiZsv/XqFbw6XOSlowVGJup0NITpaY4iJUzUHfrHy1QdD4EgYWr0NkfRNMFEzWG0WCdbsRku1PiduzddMEHGvdf0cmCsxK4jBfaPlWlLhGmOhzA0DcfzyVVsMmWb9mSYq3ubufvyzqVesnIBUAGGolyAtEgEs7c3uLpfLKI3Nc15e69QQEsmMdesPU8rPDNBZ6wvUnnySdx0mlBnJ1oyOR1ASdfFzWax+vspfPdf0WIxkq973RKvWrkQZct16o5HPHL6P4PxsEHd8ciVrfOwsktT2NC5ZV0bh3NVjhVqrGlNnFKL0RI3KdaC9rNhQyMZCc24ifelJFO2J6+2ty9oHY0xk//y+o186oH9HBgrkSnbHC3UgKDbmCfB1DWaYyZr2uLTKUXNMZO64zGQqfDc4Txff3yQX7ttef++nZKMhPiduzfz6Qf2s2+sSKZkMzJRRyLRhKBp8rVevbKZD96+bs40KkWZogIMRblAJW67lfru3bjj4ydswk8mbRuvUAiG7t1263le5cLUXtxF9YUXcMfHMdeuRTu5M5ZhEOroQAuHsQcHmfje/yFx001o8fgSrVi5UImpdjhTPU/nIk+6j7Io7rmii+cP53nxSIGD6TJdych0XYWUknBIO2Go3UztYX0ZzGkwDY2VLTG29y28Zqs9GeH333QZTw1keWjvOAOZCkfzVSq2S1RorGqN0RwzTwmAIiGdNW1xDoyVefJQhnds75kuhs5VbH5yMM1IoY4vJam4yY1rWljZsjx+d6XiJv/tZ7aw62iBnfvS7B0tTrbq1di6opEdm9rZ0pVUJ8bKvKkAQ1EuUPHrr6f4gx/gFSewh4Ywe3tPqcfw63XsoSGM9jb+f/buOzqO6zr8+PfNbG/ohQBIohDsokRSEmVRIiVR1bLc5JYixy1uclwixz6Of4nj/BI7+TlxkRPbiS3HJUVukeUiq1iyGqlCib2DANE7tvedmff7Y0maFFEWJEAsoPc5R2ePd6e8MRbg3Hnv3utetw7H0qVzNNrCxJ9+CmNsFFtV1TnBxZn00lKMUAhjdJTE88/j37btIo5SWQgq/U7cDhvxTI6Ae/Klg/FMDrfDRuU8Lkc6HwRcdu65eQVfeewoR4diDEbT9ITy/SgMU4KAujI3kVQOu6bRFUxS4XXgO9nDIZYxGItn8TlttNb4+Mj1rRN2pp6Ky66zdXk1W1qrGItn+NRP9xFLG7RUevFM0jPCacsnm48lsjzdNsK2VTX85/Nd7Dwxxlgim2/+J8Fp1/jVvn5WLwrwx1c1srjcc17jnEk2XWPj0nI2Li1HSolh5StlqaBCOR8qwFCUeUpzOqm6+yMMf+UrZI63kTl2DM3vR/N4QErMWAyZSmGrrcF9yToq3vu+uR7ypKxkktShw1jRGPa6+im3t5WXYwSDJHfvVgGGMm2bV9RwqD/CaCyD32Wf8CZKSslYLEO5z8nmFaoXxmyrCbj46zvW8PSxEX53ZJi+cArDkmgCKn1OtiyvornSy09e7qVzLMFYPEN/JA3kJ6J8LhsVXgdXNJUzE/fFQgiSWZO0YWLXtUmDi1NKPQ7GElmODER58USQ/X1hRmIZ/E7bye8aJLMmx4ZiDEbSdAeTfPKWlbRU+S58wDNECIF9qnbmijIJFWAoyjzmaKin5tOfIvzjn5DcuxczFEKm0yAEttJSbK3L8Fy5ibK33JkPPIqYlUiAYYCuI/Sp1/gKpxNyufx+ijJNr2mt5sGXuxmNphmOpqkOuM4JMqSUDEfTGJakOuDiqmVVczTaVxePw8ataxdxy5pa+iNpUlkDh66xqNR9ekZi/ZIyDvZHeaZthD09YU6MJk73rAgnszywu5cnjw6zsjbAmzc0sOoCyqpmT5bQLfR+WxNgWRYvngiSNfOlcpdX+3HYfj+bUubJL/HqCSU5Mhjj3seP8YU3rcNbQACjKPOB+iYryjxnr66m6iN3Y4yMkNi5EzMUAk3DXlOL58or0X3FscZ3KsJuB00Dy0JKOfW0vGmCpiFsqi+BMn1ep413b23lm48doWM4RiJjUOFznr7BS2QMxuIZTEvSXO3n3Vtb8bnUd+1iEkJQXzp+FSghBGvqAuzrDRNL50hljXwnbme++lHGsDg2FKM/nOL4cJwPbG3hquaK8xpHwGXDrgsypsSScsJeHadkDAsQBJNZ0jmLlTW+ccu66ppgSbmH9pEEPcEk24+PcvMaVaFJWRhUgKEoC4StqoqS1752rodx3rSSEmxVVWRPnMCKx9H9/km3NyMRNL8PR2Nx55UoxWtDYwUfumkl33+qjeFomrF4hr5QEsivwa/wOakKuHjX1lY2NJ7fzakye353dJhf7eunfSROXYmbMs/ZS93qSlwMRtMcG4rx70+3UxNw0lQ5/WVIVX4nzZU+eoJJIqncpJ27pZSMxbNomkBIqPDaJ+0ZoQlBtd/JcCzDk8eGuWl1jcp5UBYEFWAoilIUhBD4rr2GTHs7xugoms838br4XO5kZaxWfFuKuzKWUtw2NFawclEJL7SPsOPYMGMnS9FW+JxcvbyaTS1VBa27Vy4u05L8et8A3cEk9aXucW/6NU1QV+rGCiXpC6V4+MAgH7pu2bTPJYTg+pXVHBqI0BdK4XPaJkweH41nQeRnJzKGSal76j4cAZeNrmCS/nCKVM48pweIosxH6lusKErR8F1zDbFHHyMVDpPr7cVeX39O+V0rmyXX2YmtshL3uktwLF48R6NVFgqP08b1qxdx/epFcz0UpUB7ekL0hZJIKSdstndKTcDF0cEYL3UGCSezlE4yAzGRq1sqeaZthFTW5PhwnEUlbgJu2+nlUlnDYiSeIZLKsazahy4ER4diTNUDFfIBjC7AkpAzLCj+fqiKMiXV611RlKKhBwJUfuiDOFtbQUoyR46QGxjADIcxQiGy3d1kjx9HLy/Dve4SKt773rkesqIoc6BtKH56udJUS4rsuobboRNJ5WgfiZ/X+Rw2jY/duJwrmyqoK3UzEs9weCBG+0ictuEYx4ZiACyv8fPuzU00Vfmw69rJfIzJGaaFJcGmCdxq9kJZINQ3WVGUouJasYKaT95D6H/+h8zx4xjBEGY0CgI0rwfH4sV4Lt9I2R/84bxJYFcUZWalcyamBKdWWL6CTdMwpSSTm/qGfyIBl51P37aSZ46N8rujw3SNJcgaFpoAn8vOlU3l3LiqhuYqH4mMya7uEMF4lsAUxQHGEllK3HYubSg9q9KUosxnKsBQFKXoOJuaqPnMZ8ie6CS5cydmOAw2HXttLd6rr8ZWNv3uvIqiLBwepw2bJsiahQUMOdM6OUMwdQnsyThtOjeurmHbqmp6Qymi6Rx2XWNRiQv/GYHEltZKfr67l6FImmgqR2CCZVwZw2Q0nqW5yssNK6vP+VxKyYG+CE+3jdIfTmFJSanHzmuaK7myqRyX/cKuR1FmiwowFEUpSkIInM1NOJub5nooygUwLYv2jkEOHukmFk8hhKCi3M+la5uoqy1TFXOU83JJfQmlHjsdIwlqAq5JS8emcyYZw6Lc62RF7eTV6QolhJi0+3aJx8Edl9aRyJqcGE1QbVhUeB3oJ2dcLCmJpHL0R9LUlri4orGctfUlZx2jN5Tkm0+20zEaZyyeIZExkUicNp2dJ4LUBlzc9ZpGNp1n+V1FmU0qwFAURVFmxYmuIR56bBfDoxGi0SS5nAGAy+Xg5T3tLGmo4vW3XUFZafF0MFbmh5W1fpoqffSHU4zEMtQEXONuJ6VkIJKmwufg6paKi1qh6Q2X1ZPMmvx63wBD0TSHolE8Dh0BpHImLrvOkjIPVzSV86Hrlp0VbPeFU3zxocMcG4oRzxhUeB1UljtPdwEfjqUZjKaJ/K4Nw5JsXlZ50a5LUQqhAgxFURRlxrW19/OTB59jYDCIYViUBDwE/B6QkkQqQ0/fGKFIgnAv1fYqAAAgAElEQVQkwV1vv47yMhVkKIUTQvDmDQ10BxMcH45jSUmVz3lWz4mMYdIfTmNJaKzwctvai1slTAjBH1y5hNV1AR4/PMze3jCprAknZyFaqnxct7Kaa5dVnjVuKSXffPI4x4ZimJZkZa3/rBkal12nzGNnJJahfSTOfc920Frjo9o/fpClKHNBBRiKoijKjIrFU/z8oRfpGxjD7XRQV+s/6+ms2+2kvNTHwFCIrp4RHvjV87znj7ep5VLKtGxcWsa7Nzfx/R2d9IdTHB6M4XfZ0DVB1rBI5UwqvE6aKr18/MblVE8wyzFTpJTEMgahRJZY2iCeMUhmDbKGxYpaP1V+J5FkDk0IAm4bdaVu3HadI4MxfE4b5T4HfqeNg/1ROkbixDPGOcHFKUIIqgMuUjmTkViGJ4+O8LbLVclupXioAENRFEWZUXsPdBIMxtA1jYpy/7iBg6ZpLKopo6t3hN7+Mbp6Rmhccm6Sq6JM5oaVNSwqcfOb/QPs6Q0TT+cwJQRcgnKvg03NFdx+ySJqS6ZueDcVKeXJWYMEHaNxusaS9IVT9IdTDITTBBPZgpPOJ+LQNRw2DcOycOga7SMJPA799H8OXTvr96nK76RrLMmzbSPcuaHhdI6Hosw1FWAoiqIoM0ZKyZ79J4jEklSWByadldA0jRK/h0g0yZ79J1SAoZyXVYsCrFoUYDia5vhInIxh4XXorK4rwXeeXdillPSGUuzqDrGvN8LhgSiHBqKEk7kZHv3ZsqZ1OkhJ5yyiaeOsz+26wOe04Xfa8LtsBNw2DMsinMoRS+fOq4mgosyGogowhBANwN8CtwIVwADwc+DzUspQgcd4Etg6ySZuKWV6nP1WA38DXAcEgC7gfuAfpJSpgi9CURTlVSydzhGJJjFyJm7X1Dc7Xq+LweEww6ORizA6ZSGrDrjOexmUlJITowm2t4/xXPsoOztDjMQyMzzCC5czJaFkjtAZgY4m4FB/lB+/1MvNq2tYWuFRyw2VOVc0AYYQogXYAVQDDwJHgCuBjwG3CiE2SynHpnHIz0/wvvHKN4QQm4AnADvwU6AHuAH4a2CbEGKblLL4/tIoiqIUGcM0kVIihCjoJkcIAVJiXuDSEkWZroxh8kJHkN8eHuLxw8P0hefns0RLwmg8yxceOswXHjpMQ5mbG1fle3VsaqpQzfuUOVE0AQbwDfLBxUellF8/9aYQ4svAJ4C/Bz5Y6MGklH9TyHZCCB34D8ADvEFK+YuT72vAj4E7T57/Hwo9t6IoyquV2+XAYbchkRiGic02eSOwbCaHzW7D51UVcJTZlzMtnj0+yi/39PPooSHimXOeOc57vaEU39vRyfd2dOJ32rh5TS2vv6yOzS0VZ1WrUpTZVBQBhhCiGbgZ6AT+9RUffw54P3CXEOIeKWVihk+/FVgFPH0quACQUlpCiE+RDzA+KIT4RymlnOFzK4qiLCg2m86K1jqGRsJEYkkqyiZvbBaJJQkEPKxeoSrgKLOnbSjG/7zYw8/39BFMZOd6OBdNLGPws129/GxXLxVeB29aX887rlzMsuqZaTioKBMpigCD/HIkgEellGfNk0spY0KI7eQDkKuAxws5oBDi7UATkAUOA09MsMzp1LkffuUHUsoOIcQxYDnQDLQXcm5FUZRXs/Xrmtl7oIu+/jG8Hicu5/i5GJFoEsMwKSvxsWaVCjCUmZUzLX69b4AfPt/Fy10FpXEuaGOJLN959gTfefYEly8t451XN/LatbVqVkOZFcUSYKw4+Xpsgs/byAcYyykwwCCfoH2mYSHE3VLKn57HuZef/G/SAEMI8fIEH62cbD9FUZSFZHF9JRsubSaXMxgYDFFa4iXgd6Pr+eVS2ZxBJJIgkcpQV1vOjdetmzAIUZTpiqRy3P9iN9/b0clA5JyaLgrwUleIl7pC/GOpm3dd3cg7rlyM32Wf62EpC0ixBBglJ18nKiNy6v3SAo71IPBPwG5gDFgK/AlwD/AjIcTrpJS/maVzK4qivOoJIbjtxg1IS7JrXwfhSIKu3hFsuo6UEktKAn4Pi+srufn6S7nskqa5HrKyAESSOe57toP/2N5JbAHmVsyGvnCKv3/oMF9/oo33XNPEuzc3UeJWgYZy4YolwJjKqVIkU+ZASCm/8oq3jgJ/KYToB74OfAH4zTk7zsy5N457gPzMxoZpnFNRFGVe03WN1916OatXLWbX3g7a2gfIGQYCgdvlYO2qJWy4tJmaavXsRrkwyazBfc+c4N+f6SCWntvAwq7nG/yVuh34XDY8Dh23Xceua6eb4JmWJGdapA2LRMYgnjYIJbMEE1kMa25SPaNpg6/+to3vPnuCD2xt4b3XNOGyT16gQVEmUywBxqlZgpIJPg+8Yrvz8R3gK8BlQgi/lDJ2Ec+tKIryqiOEoKWxlpbGWlKpLPFECk3T8PvcOBzF8s+PMl9ZluSB3X186ZGjDEYv3lKo+lI3y6p9NFd5aa700lDmoa7UTW2Ji4DLdt49KKSURFMGA9F8d/DeUIpf7e3nQH+UnGmRM2c/+IimDb70yFH+6/kuPn3bSu5YV4emuoMr56FY/sIfPfm6fILPW0++TpQnMSUpZVoIEQPKAC9wKsCY9XMriqK82rndDtxulWehzIxD/VH+8oH97OkJz+p5qv1ONi4tY8OSMi5pKGHVosCsLSESQlDisVPisbOyNv9sUxOCaDqHXROUeR3E0wbRtEEklSOSMk53/Z5p/ZE0H7t/Dz94rosvvOkSVtSqqlPK9BRLgPG7k683CyG0MytJCSH8wGYgBTx/vicQQqwgH1zEgNEzPnoC+Cz57uFffMU+zeQDjy6g43zPrSiKoijKhUvnTO59vI1/e7oDcxaWE/mcNq5ZVsnm1kquWVZJY4FdsYejaZ48OsyxoThpw8Tr0FnXUMq1y6sIXEDydGu1j4DLTn84RZXfSZnXQZk3H6hLKUnlTIKJHMFEfonVTE9yvNwV4vZ7n+FD17Vw9/XL1LIppWBFEWBIKduFEI+SrxR1N/lciVM+T37G4d/O7IEhhFh5ct8jZ7zXDGSklH1nHl8IUUm+mR7A/VLKMxdpPkW+jO0WIcTrX9Fo7x9PbvMt1QNDURRFUebO7u4Qf/7jvZwYndl2WJU+J7dfUstNq2u5sql8Wp2v0zmT7+/oZEf7KGOJDNGUgSUlNk3wwokgD+zu49a1tdy5oeG8lk5tXFpGXambvnCKaNo4a/ZECIHHYcPjsNFQ5qY7mCCVs6j2u+gOJhmNz0y/D8OSfP2J4/x6/wBfe/t6LmmYaEW5ovxeUQQYJ30Y2AHcK4TYRv6mfxNwPfnlSZ99xfaHT76e+Ru7BfiOEOIp8iVlg8AS4LXkcyxeAj515kGklKYQ4t3kZzJ+KoT4KdANbAMuB7aTz91QFEVRFOUisyzJt55u58uPHpuxJGi3Xef2dYt40/p6rmquOJ2APR1Zw+Krvz3GCx1j9IdTBNx2agMubJoga1oEE1kGIili6RyxtMG7rm6cdpBh0zVuXVvLYDTNidE4UropcdvPOo4lJUPRNMmsxcpaP//ndatZXObhuY4xHtjdx0P7B0jnLnwpVcdIgjd/czufumUl772mSeVmKJMSxfRgXgixGPhb8suVKoAB4OfA56WUwVdsKwGklOKM9y4hX452I1BHPkE7BhwEfkx+FmTckF4IsZr8bMn1gJ/8sqj/Af5BSpm6wOt6ecOGDRtefnmiNhmKoiiKorzSaDzDx+/fw7PHR6feuAAra/3c9ZqlvP7Sugvu+/Djnd3cv7OHgUiK5krvuMuHYukcXcEkzZU+PnJDK5uXVU77PFJKvr+jk4cPDtIbSiIllHrs2DRBxrAIJXN4HTpLKjx8cOsyrmquOGv/aDrHg3v6+c/nujg6FJvgLNOzdXkVX3n7ZZR7VV5VMdq4cSO7du3aNVF104uhqAKMhUoFGIqiKIoyPQf7I/zp91+ifwaa5V23ooo/vbaZq1sqzrvK05nSOZN7fryHXd0hlpZ78DonXhAylsgSTua4bkUVn7tjzXmdX0rJY4eGePjgIH2hJNG0gWVJbLqgzONgeY2fOzc2sKZu4uVLUkqePT7Kt585wdPHRqY9hldqKHPznT+5/HRCulI8iiHAKKYlUoqiKIqiKDx8YIBP/GgvqZx5Qce5dU0tH93Wyuq6mb0J3tkZZCiaxq5rkwYXAGUeO4ORNMeH43SOJWiq9E37fEIIbl5Tyw0rq9nbG6Z9OE7GtPA6bKxfUlrQMYUQXNtaxbWtVRzoi/C1x9t47NDQtMdySm8oxZ3f2MFX37Gem1bXnPdxlIVJBRiKoiiKohSN7z57gr/91aELOsbmZRV85rZVrK2fnYTk/nCKRMYg4Jr6NkoTAp/TRiJj0B9On1eAcYpN19i4tJyNS8vP+xgAa+tL+PY7L2dvT5gvPHSYF04Ep95pHImsyft/+BJ/+4a13HXV0gsak7KwqABDURRFUZQ5J6Xka4+38dXftp33MZoqvfyf21dxw8rqGVkKNRHTkkjywUMhhAB5cr9icuniUu5//1U8emiILzx0mK6x5LSPISX81c8PEE3luPv6ZbMwSmU+UgGGoiiKoihzSkrJPz58lG891X5e+9s0wYeva+HDF6lXQ6nHjtOmkchMvYRLSkkqa1Ludcxak74LIYTgljW1bF1edUE9Rr70yFEyhsWf3zRR32Ll1UQFGIqiLGhmPEFy9y7MYBCEwFZVhWfDBjSnc66HpijKSV/9bdt5BxeX1Jfwpbeuu6jJxlc2VfDjl3oYiEQxTAubPnHvjGTWxEJSW+Ka8VyQmeSy63zq1pW8bl0dn/zJXg4NRKd9jHsfb8Np09RMhqICDEVRFiYzGiX88wdJvPgCxugYMpMGBMLtxl5Tg2/z1ZTccYcKNBRljt337Am+9vj5LYv6wNZm7rlpxbSa482ESp+T9YvLGIyk6Q6laKzwjLtcyjAtekIpqv0utrRWY58kECkWq+sCPHD31fy/h49y37Mnpr3/lx45SsBl467XNM784JR5QwUYiqIsOEYwyNCXv0z68BGMkRGE243m8QBgjoyQ6+8n199Ppu041R/76OnPFEW5uB45OMjf/Xr6Cd1lHjtfe8d6tiyvmoVRFeYdVy7h+HCcQwMR2kfiVPtdBFw2hBBYliScyjEUTVPqcbC2voTbLqmds7FOl9Om81evW801yyr5+I/2EEnlprX/535xkIYyD9evrJ6lESrFrvhDaUVRlGmQhsHIv/wrqf37MSMRHC0tOJuasNfUYK+pwdnSgmPJEnJDQyR2vczofd+d6yEryqvSgb4IH79/D9Ntx7W8xscvPnLNnAYXADUBF39xywoubSilwudkOJbhYH+UwwNRDg5ECady1Jd5uKKxnHtuWoHHMf+e6V6/spoH795MS5V3WvtZEj7y37s4Mjj9ZVbKwqACDEVRFpTknj2k29owozEcTU3jLoHSPB4czc0YQ8Mkd+8m09l58QeqKK9i4WSWD/zw5Wn3ubhuRRU/+9DVLC4vjlnHJRVe/u8bL+GDW5exeVklKxYFaK7ysXpRgG0ra/j4jcv57O2rKZvHHa8bK708cPdmrm2dXhfyRNbkAz98edqzH8rCMP/CaUVRlEnEn3oaY3QUW2UlQp+4mozmcKCXlWEEg8SffhpnY+PFG6SivIpJKfnUT/fRF05Na783XFbHP7310qLLY/A6bdyyppabV9cQSeXIGBZuh07AVXwVo85XwGXnvj+5gk/8aA+/3j9Q8H5dY0k+87/7+Nc/3DCrZYOV4lNcv6WKoigXQFoW6ePHMWMx9NLSKbfXS0uxIhHSR49ehNEpigLwXy908+g0O0i/7fIGvvK2y4ouuDiTEIJSj4OagGtBBRenOGwa9/7Bet68vn5a+z20f5Afv9QzS6NSilXx/qYqiqJMk8xmwcwvuZhs9uIUYbcjLQuZzsz20BRFAXpDSb740OFp7fOm9fV88c3r0DT1BHyu6Zrg/71lHa9bt2ha+/3drw4zEJnejJUyv6kAQ1GUBUM4nWDLBxbSMKbcXmazCF1XVaQU5SKQUvKZ/91PIlt43sXW5VV86S3r0FVwUTRsusZX3n4Z1ywrPCcjljH47AMHkNPN6FfmLZWDoSjKnJJSYoZCWMkkwuHAVlFR0OzDeIQQuFetJtvVjRkKYauavMqMGQqhl5TgWr3qvM43W5KjYwy8sIt43yCWYWD3eam6ZDVVl6xEs6k/28r89MjBIZ5pGy14++U1Pv7lD9dP2sROmRt2XeNf/2gDb/7GdtpHEgXt88SRYZ44Msy2VTWzPDqlGKh/qRRFmRNWJkPi+eeJP/U02e4upGEiNA1bdTW+a67Bd+016CUl0z6ub+sWEjt3ku3qQi8tRdjHXwttpdOYkQjO1lZ8W7de6OXMiFwyydGf/JKRfYdJhyPkkkmwJJrdzsCLu/FUV9L6+luovmztXA9VUaYlY5h8YRpLowIuG9955xX4F2Auw0JR4rbznT+5gtd//VlimalnjAH+/qHDbFleVdS5NMrMUAGGoigXnREMMvL1r5M+egxjdBSZTiNsNqRpku3qItPRTuyJJ6i6+8M4W1qmdWz32rW4167FSiTIdHTgaGhAeDynK5hIKbFiMXJ9fdjr6vBd/RocdXWzcZnTkkum2POtHzB26BipsSB2vw9XeRlCCMxsluTQCMnhUTLhCCvTGequ2jjXQ1aUgt3/Yg/dwWTB23/prZeypEItXSx2TZVevnjnJXzkv3cXtH3HSIIfv9TDH21aOssjU+aaCjAURbmozHiCka/dS3LPHsxYDHt1NVoggNC0/M1/IoExPEwqEmX4a/dS8+lP4agvvGqJ0DSqPvRBZDZLav9+cr29oGm/7+QdjyN0DUdDA95NV1J+112zdanTcuxnv2Ls8DHS4QiBpiXoZ8y82L0enKUlpENhol29HP3pL/EvrsNfP71ES0WZCxnD5JtPthe8/dsub+CWNfOn6/Wr3evW1fHE4WH+d3dfQdt/88l23nb5YjWLscCpn64yL5nxBImdO4n97nfEt28nN1B4XW5lbsUee4zU4cNY8TjOlpb8MiYt/6dICIHu8+FoakLoOtkTJwj/9KfTPofu91PzyXso/4N34Ll8I/a6RQiXE+Fy4Vi8GO+mTVS8851UffjDaI65b4CVCoYY3neI1MgY/iX1ZwUXpwghcJeXYfd5SY0G6dv+4hyMVFGm72cv9zEYTRe0bU3AyWdvXz3LI1Jm2l/fsZpK37lNTcfTG0rx8wKDEWX+UjMYyrySGx4m+pvfkHzxRYxQCJkzQNPQfT5cq1cTuOUW3GvXzPUwlQnIXI749mcxRkbyS5cmSOYWQmCvqyNz9Cip/QfIDQ1hr5leYqDmclH6xjdScvvtpA4exAyGQICtuhrXqlWng5piMPjiHjKhCHa/b9zg4kyu8lKinT0M7znAsjtuweZ2XaRRKsr0SSn5/o7Ogrf/7O2rKXGrvIv5ptTj4DO3reSen+wtaPvvP9fJWzY2qOZ7C5gKMJR5I9PRwcjX/4VM5wnMsSDC7UZzOJCmiTEwQG5ggPShQ5S97W0Ebrl5roerjCN99BjG0DBC0xBTlIYVNhtaSQlmOEzypZcouf328zqnsNvxXHbZee17scQHhsglkzhLp05q1x0ONLuNbDxJcjRIYPHc548oykR2doY4OhQraNv1S0q5Y5r9FZTi8ab19Xz/uU729Uam3PZAX5Q9PWHWLymb/YEpc6J4HuEpyiSMsTFG/uVfSR0+jEylcbS04Gxqwl5fj2PJEpwrViBcLjLt7YR+9CMSL6jlI8XIjEawslmEyzXukytpWUjr9zXyNZcLmc1iRqMXc5gXnWUaIIFCn+YJDaTEKqDXh6LMpZ++XHgH50/evEI90Z7HNE3wiZuWF7z9z3b1zuJolLmmAgxlXog99luynZ0gJfalS9GcZ6/1FLqOvboaW1UV2Z4eIr/8BdKy5mawyoSEbsvfQJzRbEnmsuQGB0kfPkz6wAHSBw6SPnSI3EB/vjO3EIgF3vvB4fOh2W2Ymak7ikvLwspm0ex2HH7vRRidopyfrGHx8IHBgrZdv6SUq1sqZnlEymy7bnkVa+sDBW370P5BDFP9O71QqQBDKXpWJkP8uecwxsaw19ZO+oRLLy9H5nJke3pIHzx4EUepFMJeX4/m9WLF4/mlbcEg6SNHyPX1YYbDmLEYZjyOGYmQ6+sn292NzGaxF0EZ2dlUfekanKUBMqHIlJ1us7E4NpeLksYG3BXlF2mEijJ9O9pHiaYLm2V719WNavZiARBC8K6rmwraNpjI8sKJ4CyPSJkrKsBQil6mvR0zGETY7Whu96TbCiHQy8oww2HSBw9dpBEqhXI01ONcvhzN4yHb20OupwcrnkCaJsLlQvf70f1+hNuNZRj55VGRCGY4PNdDn1XlK1rw1dWi2W2kRscmDDLMXI7UyBiuijLqrrpc3ZApRe3pY4V17S73Orhtrcq9WChet24RAVdhs85Pt43M8miUuaICDKXoyVQKaRgTdmR+JeFwIA0TK5Wa5ZEp5yNw4zZsVVUYff35nhQOB5rbnV8GdcYNs5AS4XIhDYPIgw9ijI3N4ahnl9A0Wt9wG/6GOnKxBIn+IYz075dLScsiHY4Q7ezBVV5G5ZoV1GxYN4cjVpSpPXu8sJvH29bW4rCp25GFwmXXuXVtYX1MnikwCFXmH/UbrRQ94XSBriELTWg1DISuI5xz39/g1SA3PEzq4EFSBw4W1I/EvWEDjuZmsNvBspCGgczlkKaJNAysVAormUQ4ndgqK9ErKjCCIeJPP3MRrmbuVKxqZc0fv4XSlqXoTgfxnn7C7Z1ETnQRbjtBLhbHX1dL7cZ1rP2Tt6PZxi/xqyjFIJLKcWwoXtC2avZi4Sn0Z3pkMEoio4pVLEQLO3NSWRAcjY3YSkrIdfdgZTLnJHifSUqJGQ5jX7QIZ2vrRRzlq4uUktTuPcSefJL0oYNY6TRI0FxOnMta8V23Fe+mTeP2mhBC5Dtru1zIU0FGLpdP/D6Z0K25XOjl5djr6pCpFLm+PhLPP0/pm944B1d78VRfthZf/SL6n9vJ4Et7yUTjIC00m52S5iXUbdpI9WVrVXChFL2DfVOXKgVw2TUub1SlSheaTc3lOHSN7BRJ3JaEQwNRrmhU+WQLjQowlKKn+7x4rriCbG8fxvAw9oaJm/NY0Wi+0tSiRXjWr7/II311kJZF6L/+m+jjj2MMD2PF4wiXC4RAplJk+/pJHz5EavduKt/3PsQ4nbKtcAihaziXL8eKxTBjMTDNfODh9WIrK/v9fh4PViaDGYnkczUmaM63UHiqKlj2+ltpunUb6VAYK5fD7vXiKpu6R4aiFItDA4WVlr5scSku+8L+nX418jhsXNJQwstdoSm3PdSvAoyFSAUYyrzgv/EmEi/uJHPsKEZ/P7ba2rNuNKWUWJEIuf5+HE2N+G+5ecGXNp0r4QceIProo2S7urBVV2Ovrz/9s5CWhRkOk+3qRubyeTMV73vfuQGh0ACB0HVslZXYKiunPvHJmY9XC91hx1tTNdfDUJTz0jWWLGi7dQ2lszwSZa5cUl9YgFHod0WZX149/1or85qjoZ7K9/8pztZWpGWROXqUbG8vxsgIucFBMkePYoyO4mhqInDrrfi3bZvrIS9IxugosUceIdvdhX3JEmyVlWcFekLTsJWX42hszC9r2vEc2Y6Oc45jq6lBeDz5mYspWLEYmtudP5eqmqQo80J3sLCbxtZq3yyPRJkry2v8BW3XHUzM8kiUuaAe8Srzhueyy6j55CcJ//xB0ocO5ZfM5HIITcOxdAmOhgb8N9+Mb8sWdSM6S+LPPIsRDKH5/Oi+iW8MNLcbvbwcIzhG/Kmncba0nPW5b/NmUnv3YgwPo5eWgpHDDEeQRg4Q+ZK1JSUgBMbYGHpFBb5rrpnlq1MUZaaMJaZuGgmwuNwzyyNR5sqSAn+2Y4nsLI9EmQsqwFDmFWdLCzX3/DnZvj5S+/ZhJRIIhwNnUzOuNavHTSpWZk5qzx7MUAhbAY3v9PJyssePk9y9m3L5rrOCPs8Vl2NfVIsxNERq//58grdhnO6+LnQdHA40ux2hCexVVXg3Xz1r16UoyswKJ3MFbVfln7hohzK/VfoLq+QYKfC7oswvKsBQ5iVHfT2O+vq5HsarjhmPI3O5SSt5naI5HEjLQmYy+ZmmM5K9NaeTkjvuILHzJaxTCd52O0LXkSeTxUkksHQde00NZe+8a9IZE0VRikuhpUf9BTZkU+afgKuw3lVxVaZ2QVKPexVFKZiw20HTkKY55bbSsvIzE5p2TsK9GU8Qeeg3CLs932jP58vPPpkmwjDypWrd7nzZWpdLdWVXlHlm/F7057KpWecFS9cKW6pc6HdFmV/Ub7aiKAVzNC5F9/kwI1PXuDcjETSfD8fSJecsXUs8t4NsVxcIgWv9ehxNTdiqqtDLytDLyrBVVmJvbsZ16aWY4TCJHTswRlXHV0WZL2SBd42mpW4vFyqr0C+BsiCpAENRlIL5tmxBr6zADAYnncWQloU5OoqtogLfli1nfyYlsaefxhgbw1ZdjWazoZeV4WhuxrlyJc6VK3G0tGArL0f3eNACAYxQkPgzz8725SmKMkN8zsKWPqnlMQtXLF3Yz7bQ74oyv6gAQ1GUgrlWrcLVuhy9JEC2szPfgfsVpGmS6+5GOJ04lizBc/nlZ31uhsPkBgaQ2Syaf+oyhnppKWY0SrqtbcauQ1GU2VVobsVYvLBqU8r8MxYvrDqUysNZmNRPVVGUggkhqPzgBzDjMdJHjpJpa0Pz+9FPBgpWIoEZiaCXlOBsaaHq7g+fkxAuMxkwLdD1gsoJC5sNzHyyuKIo80OlzwlM3eemN5Ti8sZZH44yB3pChfVCqfAWVm1KmV+KagZDCNEghPiuEKJfCJERQnQKIb4qhCgrcH+vEEnn3PkAACAASURBVOKPhBD/LYQ4IoRICCFiQoiXhBD3CCHG/RYLIeQk/z0/s1epKPOXNE2yXd3oZWVgWUhpYQaD5Pr7MUIhhN2Gs7UV33Vbqfn0p3AsXnzOMTSPB2y2s8rSTnrObBZsNjSPezYuSVGUWbC4vLDf1+PD8VkeiTJX2gv82apeKAtT0cxgCCFagB1ANfAgcAS4EvgYcKsQYrOUcmyKw1wL/CcQBH4H/BwoB+4A/gl4sxBim5QyPc6+XcD3xnm/d/pXoygLT66/n5FvfotsZydGcAwrnoBTAYIQCE3DtWYtFR94P86GhgmPo/n9OJsayXV3Y0Yi2Momf35ghkLYSktwrVk7g1czd4ycQdfhDgZO9JHNZHE4HdQ21tG4ugWbvWj+JCvKBSn0pnF/39QFI5T5qdCfbaEN+ZT5pZj+NfsG+eDio1LKr596UwjxZeATwN8DH5ziGIPAHwM/kVKeXvwnhPADTwJXA3cD/zzOvp1Syr+5gPErC5iUksyxY2Ta2/O5Ax4P7nXrsNfWzvXQLorc0BBD//TPpI8exUomsVVUYK+pBU3DSqcxg0GsRIJsdxepF16cNMAQQuDfspX0wUNk+/vR/f5zytieYsbjWKkUjuYmfPO80Z6UksMv7Gff9t1ER8Mk40ks00LTNdw+DyUVJazdvJ41V61TneiVeW/1okBB2+3qCmGYFja9qBZUKBcoa1js7g4XtG2h3xVlfimKAEMI0QzcDHQC//qKjz8HvB+4Swhxj5QyMdFxpJR7gD3jvB8TQvwz8F/AdYwfYCjKuOLPPUfs4UfIdHVhxaJIy0LoNvTSUtxr1lDyhjfgbG6a62HOqrHvfZ9MWxvSMHC2tp5Vdlb3+fKla6NRsp1dRH79a1xr1+JasXzC43muvALXE09gxuNkT5zAXl+PcLtP31hLy8IMhzEGB3EsXUrJzTefzvOYj6SUvPTYc+x9ZhdjA6NomsAb8KHbdEzDJBqMEB4JEQ/HiIdjbLp1swoylHltTV1JQdvFMgZPHRth26qaWR6RcjHt6g6Ryk3dLwlgdZ0KMBaioggwgBtOvj4qpTxrUfbJ4GA7+QDkKuDx8zzHqXI3E9VNKxVCvAeoBSLAy1JKlX/xKialJPK/DxD55S/J9vUhs1n00lLQdaxUCmN4iNzAAOljx6j84AfwXHrpXA95VmQ6O8kcPYoZieBcseKcnhan6IFA/v+X0RHiTz45aYChORxU/dlHkF/9GunDh8n19OQb8rndICVWPI5wuXA0NRHYdgMlb3jDbF3eRdGxv419z+xitG+Y0qpy3D73WQGEr9RPKp5ktH+EAzv2UFFbSev6lXM4YkW5MFV+J0srPHSNTZ3o+8KJoAowFpiHDwwWtN2yah+lHpXkvRAVS4Cx4uTrsQk+byMfYCzn/AOM95x8fXiCzy8F7jvzDSHEXuAuKeX+Qk4ghHh5go/UncI8FH/mGcK//CXZEyew1dSgl5WddVMoTRNjcJBMWxuj//5taj/zGRwN9XM44tmR2L4dIxjMX7+uT7qtrbycTFsbyd27MeNxdJ9v4m3Lyqj51F8QfeRR4tu3YwwPITNZEAJ7dTXOlhb8227Ae9VV8/ppvpSSg8/vIzwaIlBRisc//npjt8+DZVmEh4McfH4vyy5bMa+vW1GubqmgO5ikudJLxrCIpHLj9kb41d5+Pn3ryoI7PyvFzTAtHto/UNC2m1sqZnk0ylwplgDj1FzqRBlBp94vPZ+DCyE+AtxKfvnUd8fZ5MvAz8gHOGnyAcGngbcATwghLpNS9p3PuZX5SZom0Yd+Q66nB1tt7biJyELXsdXVkevtJdfbS+yxx6h497su/mBnmTE8gpVKYausnHJbYbcj7HasVApzbGzSAANA93ope/ObKHnd7aSPHMGMRBC6jn3RIhyNjTN+gy2lJHm8g/DzL5AbHQMk9ooKSjddgWd566zc0A/3DjHSO0Quk6Oyzjvpth6/l8hYmLH+EQa7+lnUuPACVuXV462XL6ZjJMGenjAZY+KKcf2RNE+3jXD9iuqLODpltjx+ZJjhWGFlxa9trZrl0ShzpVgCjKmc+ld/2n3nhRBvBr5KPgH8TinlOZ3BpJT3vOKtl4C3CiF+CtwJfJJ8ovmkpJQbJxjDy8CGaQ5dmUOpffvI9fchLSu/LGoCQghsNTVkjx8nsfNFSt9y57zOFZjYtH/1kLLwfTSHA8+6ddM+x3Ske/vo+8F/k+rsJBcMYaXTICWay0XomR24G5dQ98d/gHvpkhk971j/COlkGrfPM2UAI4TA4/OQTqYZ6x9RAYYyr62s9bO3d/Lg4pTvbe9UAcYC8f0dnQVt53XoXNM69YMrZX4qlgDj1AzFRFlhgVdsVxAhxBuB+4Fh4HopZcc0x/Ut8gHGlmnup8xzmWNtmJHoOcuixqM5HAiXCzMSJdPRMS9yMaxkkmx3N1Ymg7A7kIkEme4uZDqN5vHivmQtjpYWhBDo5WVoThdWMjll8CQNA5nLoTmdU5afvZhSXd103fsNkh0dmPEEtrIyHNX5J2dmIkmqq4vsyAjZ0TGWfuxuPI1LZ+zcpmEgpUQUuPxDaBpSSkyjsARJRSlWHoeNG1ZW89D+qdfjP3VshAN9EdbWF5YcrhSnXd0hdrRP1VEg78bVNbjsky+7VeavYgkwjp58nSgrtPXk60Q5GucQQrwV+G/yMxc3SCnbzmNcIydfJ1/XoCw4VjqFNM1zulBPJN9t2kSmi7vbdG5ggNhvHyfxwgsY4TBmKIQZiYBlIRwONK8HzeFELy3F0dxM6RvfgPc1ryH+5JNkOk5gq6qaMMkb8j0rtIAf1yWXoJcUx42ClcvR8+3/IHG8HQH5pVBnVsHyerFXVZLp6yPZ3k7vv9/Hss99tuCf/VScHhe6TSebKuy7YWRzuLxuXB7XjJxfUebSWzcuLijAAPjKY8e4711XzPKIlNn0lccKvk3jrRvPbcSqLBzFUnj6dydfbxZCnDWmkz0sNgMpoKCqTkKIPwT+B+gHtp5ncAH5qlUA0535UOY5ze1G6Doyd86KunHJXA5selF3m07t38/A3/09of/9Gcl9+8gcP06ury8fZITDmOEQxugYVjpNpr2d+LPPMvy1e8kNDeFoakbzesn19U249MlKJDBGRrBXVuG/butFvrqJRXfvJXOyCphzccO4AZIQAmd9PdIwSfcNEN11TrXr87a4dSlev5dMKo2Rm6iIXZ5pGKRTaTwBLw3LZ24WRVHmypblVdSXFvZ38fEjw2w/PjrLI1Jmy5NHh3mmrbCfX2OFh6tVgveCVhQBhpSyHXgUaCTfCO9Mnyc/g/CDM3tgCCFWCiHOqc4khPgT4IdAN7BlqmVRQogNQohzZiiEEOvIN/eDfHdw5VXEtXoNemkpZig0ZS6BlU4js1lspWU4W1ou0ginJ9NxgpFvfpPM0aPITBZbeXn+A8tC83oRfj8gkNksViKBo6UFzeMh095O8Ac/xLdlC87mZqRpkm1vxwyHkZaFlBIrnSbX30+2qwvHkiX4rr8O19ri6bod3v4c2WAQe3n5pMvdhBDYK8rJBYOEnt0xY+d3+zw0rm7BW+IjPDLx90lKSXgkhMfvY+nKZryByRPkFWU+0DXBXa8pPFj+qwcPkC6wf8J81hNM8sPnO/nCQ4f4m18c4MuPHuXpYyPz9tpTWZPP/eJgwdvf9ZpGNFU1bEErliVSAB8GdgD3CiG2AYeBTcD15JdGffYV2x8++Xr6GyqEuJ58lSiN/KzIu8e5oQhLKb96xv/+KPBmIcQTQA+QIV9F6lZAB75NfjZEeRVxrVmNY3EDuf5+zGAQW8X4T1qklBhDQ+jl5Xg3bULzjF+CdK6FH3iAbFc3mtuNvmgR2WPHkOk0wuXKV36C0/09rGQSc2QEe0MDWFa+18fBA1R/4uOMfPNb5Pr6MMbGsHp6gPzyML28DGdrK/5tN1D29rcXVXnVdP8AZiKJq65uym1tgQCZ/gHS/QP5vIkZuo5Lt26kt72bgRN9jPaPUFJRgsP1+yVY2XSGaDCClJKa+mou2zpuvYizhONp4ukcNl2jwu/Cbpv+WuZoKstLJ4KEk1k0AYtK3axfWoHDVhTPnpQF4o82LeEbvztOdJwSta/UMZLg60+08Re3LMzq7tF0jm8/3cHenhBjiSyxdD5Hy65r7GgfpTbg4u1XLpl31ZW++ttjBfU8ASj3OviDK9XyqIWuaAIMKWW7EOJy4G/J39y/FhgA7gU+L6UMFnCYpfx+VuY9E2zTRb6q1Ck/J59Evo58wz8XMAb8Bvi2lPIX07wUZQEQQlByx+vJ9feT6egA00SvqDirD4TMZskNDiJNE+eSJfhvvnkORzyxXH8/6UOHsGIxnCtWYMXjWKkUSAm2M/4ECIFwuZCJBEY4jG3RImxVVWSOHiW1dy9l73gHdX/3f0m88AKJZ54l29d3cgbEg2fjRnxbtuBYXIT/aJhm/lonyR05TQiwJNKcmaeIiXiSvq5BstkcLVdcgmFYxEZDjA2O5hPobTZMw0RKC2+Jn/LaCra9/VZKq8rHPZ5hWuzpGGb7oX6O94cxTAshBAGPgytX1HLtmnqqSqYOcoOJDD/b2c1LJ8YIxjNkDBMQeJ02aktcXLuihtdd1qACDWVG+F123r25ia89Xthq5W8+2c71K6q5vHH834P5KprO8Q+/Ocy+njAj8QylbgeLAi40DdI5i+FYmv5IinAqRyprcvOa2rkeckGeax/j358pfCX5e69pwuMomttPZZYU1U9YStkDvLvAbc95tCil/B7wvWme8+fkgwxFOYt305WYoRChn/yYXP8AxtGjaH5/Pjcjm81XVSorxblsGVUf/hD2msJKLFrZLMmdO0ns2IExnK8joJeX433NVflZEPfM5nEk9+7FjITRAgGErmMlEmAYYLef84ReaBpS0/LXF4+hl5Sieb2YsTiZjg68V1yBf+tW/Fu35pf6GAbCbp/R8c403e9Ds9ux0mn0KWaYrHQa4bBj8/suaPZidCjIruf20360i0Q8hWVaaLrA6bDjrqnGXVaClU5jWRZC0/CV+mm9dAUrr1iLr3T8Sl2pjMF9j+5n34lRxmIpEmkDuy1fcUpK6B2N8cyBPu66YRUblk3cFXkwkuKff3OIYwNRRuMZvE4dj8OGlJLBSIq+UJL+cIqO4Rh/dtNKnKrKizID3ndtE//1Qhej8eyU21oSPnb/Hn71Z9dQ5l04XZ6/v72TfT1hwskcK2r82PXfB/AeR/7J/lg8Q/tInP98vpOWah8tVcW9VHIsnuETP9pDoVXJq/1O3r25cVbHpBSHogowFKXYBG69BXvdIqKPPEL6yFHMWCz/1N7jwdHUiGfjRkpe+1rsBSy/AUgdOsTYfd8lNzCAGQzmZxIA4XSS2reP8AMPUPHOd+LZOPUSmUJZ8TgyZ/y+KpKVr0k/4Q20roOUyFNlUm02pGXmu2yfQQgBRR5cAJRsXE/i2HFywdCUAUYuGMJeVkpg4/rzPl/n8R4eeeApRoeCJOJJnC4Huk3HNCyC6TAer5vyylKuuHEDdQ3V2J12ymsrsdkn/nNsmBb3PbqfnceGGIkmqS7x0FDhP72GOZU1GIumOD4Q5nu/PYjTbmPN0nOX9WVyJvc+eoQDvWGyhklrjf+sWYqaEkhkDLrHErxgSQLuDt5/fes5x1GU6fK77HzipuV89oEDBW3fF07xof96mR+8Z9OCmEkbjqZ5qSvIcCzDytqzg4szVficpA2L4ViGxw8PFXWAkTFMPvifLzMYTRe8zydvXqFmL14l1E9ZUabgXrcO97p1ZHt7yXR0IDMZNK8X9+rVkzbhe6XUoUOMfO3e/JIrKdErKrDX5xupWYkExtgYxvAwI9/4JpUf/ADeK2amXKNwOEDTfr/sR9dBCKRlMW6IIWV+qdDJJUUym0UEAkWbXzKV0s2vYfSR35I4dhwjFsM2QS8PIx7HjMVwLmuhbPPV53Wu4cExHnngKfq6B7E7bCxaXIPtjNwI0zSJBGMM9A6z8/mDvPEPG6hePPFswykvHx9i34lRRqJJmmpKcLwi38LtsFFf4WMkkqJ7JMbPtrexanH5OUmUL7SP0j4cI5U1aKn2o4+TZOl12miq8tE+FOf54yO8fkMDtSXFWx1NmT/efvli7n+xh/19hbW0er4jyF8/eIAvvvmSosrrOh9Pt40QTGQpcdsnDC5OqfI5OTYU48UTQf5w01J8zuK7VZNS8pf/e4CdnaGC91m/pJQ7NzbM4qiUYjL/HwsoykXiaGjAv2ULgZtuwnf11dMKLqxMhrH77iPT0YHmduNoacFWVpZPsLbb830nmprQSkrInjhB8Hvfx4xGZ2bcjY3ofh9mJJ9ErAcC+ZmHXO7cikanlj3pOrrHjZXJIDMZbOVluFZM1KamuDkqKqi87RZcSxeT6esnMzSMdUb5YSuXIzs8TKa3D9eSxVTechPOApe7vdLL2/cxMhTE4bBTUVV2VnABoOs65VWluD0uRoeC7Hy2sHK42w/1MxpNUV3iOSe4OEUIQVWJG8Ow6BuLc7jn3LS1J48MMRbPUOV3jRtcnOKy65R47AQTGZ4+MlTQGBVlKjZd4x/vXIdtGtWD7t/Zw5en0VuhWPWFUiQyBiXuqWd9HTYNh00jnjEYmsbswMUipeQfHj7Cz3b1FryPXRf8453rJv27oywsxRcWK8oClHxxJ7mBQZAS26JF4z6NE0Jgq6oil0ySGxkhvn07JbfddsHndq9di72+gVxfP1Y0ihYIoHs8GCfL64ozGsrJbBZ0Hc3vB4cTo6sLvbwcz5Wb0Lzzt99k1e23InM5Rh5+lNzoGMnj7Wg2GyCwjBz2khLczU1U3rSN6je87rzOEYvEOXGsm2Q8Sd2SmkmfuJaU++nrGqSns5+xkRAVVRN3PR+NpOgYjJDMGiyunLyTuhCCMr+LcDzN7vbhs5ZJJbMGXaNxkhmDxsqpf5ZlXgf94RRHBmYm0I2kcjzTNsKurhDxjIFd12iq9HL9ymqaK73z/gm1UpjVdQE+fF0L9z5xvOB9vv7EcVx2nbuvXzaLI5tdpiWR5CeHC5H/fZCYVoHJDReJlJKv/raNf3tqeu3BPnpDK8trJv/7pSwsKsBQlFmSGxjAGM03HYo8+ijG2Fi+EtUUvRj0igqMwUESO3bMSIAhdJ3AjdvI9fWR7ezELgS22tp8SdpEAkvKfKK2aSKzWTSvF/3/s/fe0XKd53nv79tt+syZ0yvaQSNAgiRIsYkEWERSFi3RKhZVbDlWHDtWSxz7xtGKrTi+seN7o9jRtWzHlpusbjtqtBpJiRQ7QYIkSKK308uc6W3Prt/9Yx+AAIFTABwAB+D81sIiiJnZ+5t9ynzPft/3eZJJnOEhpITwypUk770X6Xl45TLScVATiSUfRvcqFcwDB/FNEyUcIrx2LdoZVInmQwhB17vfReKqzeSfeIryS7vwGw2QoIRDJK/ZQvq2txJbf/bzBmNDk9RqJuFICFWdfzBaURSisQi1qsnokYl5BUbFtHFcj5CmLso3PqyrVE2H8huSwxuOhy+DXAJlEbscTRH4vsR2z81RS0rJd3dN8OCuCWaqFoWajeP5KEKwc1jjsf0ZNvel+Nj2QVLRy2egt8ncfPKudTx5KMuLI8VFv+Z//Gg/DcfjP9y9/pIUo6mojqEqmLZHMjx/FcOXEsv1MFRlURWPC4WUkj/6wT7+8vEzExc3rG7lY5ewOGxydjQFRpMmS4iUkvqO56k89hjWgQPBJhawh4fxazXURGLBfAUlHsdvNHBnskjPO8ka92yJ33kn9vgElUcexh4dQ6gqSjKJdJzAMco0A5taRcGr1/EPHEDoOkoqhbFqFeVHHsZ8+WXcfAFmBUnkqqtIbN9G+Morz+kD3x6foPijh6jt3IlbLAa2sqqKmkwSu/ZaWu65m9CqpUm1jq4dJLp2EO8BE6cQ9A5rLSm0JajOWJaN73moi8yjUDUV3/OxrPlddVRFIITAX6RNiz87QqO9wZY3oquoisDzg7uiC7UqOJ6PqgjC5+AiJaXkaztG+O6uCYayNaKGSlcyREhT8H0omjYHM1UKdZuy6fDpd1yx4OaryaWPrip87gPXct//98SisjGO8ac/OUShbvN779yMtsAcw3LjxtVt/HjvNEezNToToXl/ZxbrDlFDY11Xgq5k+AKucm4cz+d3v/0aX39+9Ixe1xLV+V8PXNNsjXoT0hQYTZosEdJ1yX3xH6g+/lPcTAa/VkfM3uX3KxWk62KPjKDVaugDA4iFchmkZNHefwsghKD1F38BvbOD8sOP4ExN4ZfLkEoFlQzTDMSGIsD3kbPn9xsN8l/5SlDa13WEpgXD356HMz5G/YXnid10E20f/SiKceZ3n+u7dzP9l1/AHh3FLRRQIpGgmuK62GPjOBOT1F5+mc6P/jLx65fOWUuNRlCjS1uB0XUNRVHwPWfhJwO+56PpKvo87lEAHako8bCO6/rYjoexwIa/YtrEwjq9bSe7z0QMjbVdCUZyNUp1m9Z4aI4jBORrNi1Rg819Z19F2jVW5HuvTnI0W2NFOkLyDXdjI0aEjniIw9kar44X+dIzw5d0G0yTxTPQGuXzH9rKL//982fUBvTlZ0cYztX5/Ie2Lqu7+wuxuTfJyrYYE8UGk6UGPanwaUWG5XpMlhusbI1yx4azmwVbago1m4995UWeOZI7o9dpiuDPP7yV3pamScSbkabAaNJkiSh84xtUfvITnNFRtK4u9P6B49UH6Ti4MzP4pomby4GizBlKJ+t1lFAItaUl2NAvEUIIkm9/O4k776S2cyfWwYNIy8KZnKL+0ku4mUxQtWhpQWtvxzfr2IcOHw/lE7EYWm8vWns70nXxCgWso0fxGxbS9+n4t/92YdF0AtbYGNP/+69oHDiA0A3Ca9eeJFKk4+BkMjQOHCTzN3+LmkoSWbd8LVN7BrqIxMIUciV830eZ51pIKanVTLr7OuhdwEUqEtLYuraL8VyVbMWkt3Vu20rH9SjXbdb3pblpQ88pj9++sYtXRgqMFeokI/qcd4Hrlkul4dLfGmPbxoVdrubix3szTJcadMaNU8TFMTRVYXVbjAOZCi8M5cjXVtB6GWUfNJmbbes7+N37ruD3HtxzRq974mCWd//5U/zFh69jQ/el0dcvhOAXb1rFdLnBwekKw7k6HYkQUUNFiKCyWKjbTJctulNhrl/Vyk1rTrWavtDsnSzz61/eydAiU7pP5L/ev5lbBtvPw6qaXApcWjXGJk2WKc7kJJVHH8UZHcVYtQrtDanfWmtrMLOgKEH7Uz6PXz/9L2w3lzsevHc+EIZB/OabafvIR0h/4AO401P4pRJ6Tw/hjRsxurtRNBV3fAJpWYhQCBGJIC0Ld3IS6TgITUPr6MBYvQZncpLas89hvrw4R6RjFL//Q+zRUYQRwhjoP6UCInQdo68PNR7HHh2j+OD3lvIyLDmt7S0MrOolHAlTLlbnfW6lVMUwdLr7Ounq61jw2Nuu7KMjFaFqOuTK5qnuXwTiYjhToSMV4eo1HbSfxlr2utVtbOxN0RLVOTJTpW6f3J4ipaRYtxnK1uhORUhFDf7i0UP87rde4Q+/t4cHXx6nWF84KA1gpmKxa6xIueHQGp9fMBiaQiKkkavZPHFwZlHHb3J58Eu3rOJf3bLqjF93ZKbGuz7/JF/bMXLan4flyKbeJJ+8cx0be5JEQxojhTp7JyvsmyqzZ7JMddaA4bZ1HXzijnUXtQ1MSsmXnhni/j976qzExa9uW8OHb1ya1tYmlybNCkaTJktA9aeP4+XzqKnUafMi1HQaMTWFsKygQd62cfN5jDc81y0U8Ot1jP5+4rfddt7XXXvqKZxsFmEYaO2v32nyyhX8RgMpJUoo6Bf2Z4fAvXwerSu4q62Ew2gdHbjZLJXHfkp069ZFndctFKi99BJuoUhk/bp5+5H1rk7Mffup792LPTGJ0Xvqnfnlwtabr2J0aJLJsWmEgGRL4qT3JqWkUqpRLlbp7utg682Lm1/pb0/wwLYNfPWxfYzOVCjWLNLxMCFdRUpJqW5Trtu0pyJsXtHGB7ZtOO1xdFXhk3dv5E9+uIc94yVGcnVURRA1VKSESsNBVxUMTaXUcDmQqVIeKeJJiaYIdhzN8Z2Xx3nbpi5+/voV8/ZVT5cbmLZH1FBPmQc5HYmwTsVymSotP1vOJucPIQSf+dlNlBsO33xx/Ixea7k+n/7mqzx+YIbfv/9KOhLzt/0tB65dkea/v2cLj+3P8MSBGfJ1G1+Crgg296W4fUMnW1ekL+rMQqbc4D9/+zUe3nN2FtUPXD/Ap39m4xKvqsmlRlNgNLnksMfGMF95Bb9WQxgGoTWDhDdvOqP2nKWm/vLLuIUixooVp31cqCpGXx/2yAherYZsNPDyeeRs0J6cbZ3yazVCq1eRfuD9aG3nvzxee+ZZvNzrguEYXrEYOErp+vENsDAMpGXhFYsnPV9Np3EzGcy9e3ALBbT03I5IxzD37sUrllBjsWDmYhbp+3jlMk4hOD8CFN1AGAZesUj9tdeWtcAYWN3L7W+/icd+8AzZTIFKaYpoPII2m+Rdq9bRdI3uvg5uuestrN24atHHfuumPsKGxreePsR0sUahalGsWSgCYmGddb0tbFndwYdu30hsnkHpdMzgt3/2Sr6/a5ynDmSYLjewXA+BoDUeomQ6NFyfsuWiaArdqTCqquC4PvmazVSpQaXhUDIdfnXb4JwCKeirl6cPczwNQgQCbLHD7E0uHxRF8P++dwuW6/O9VybP+PU/eG2KZ47k+J37NvHerX3L3mWqPR7ifdcN8HPX9FGoOzieTyKskbjIBgdSSv7xhVH+4Ht7z2j4/kR+7ppe/vAyCEZscu40BUaTS4bGgQOUvvMdGvv2Bxtg10UoCkoygTEwQOKee4jfdttF+cXm12pB69A8g85qOo0OyNFROZc5jAAAIABJREFU/FIJv1bDfPVVhKIgdB2trRWjr5eW97+fxF13XZB1u/k8fqNxStVFui74fhDId/wNqMjZKsaJTlhCVRG6jrQdvFJpUQLDr5tIzz3pennVKtboGH6jEQTh+X5wfEUBKfEqFayjQ+f+ps8zV27dSCwR4/kndzE1nqFeNXFdD1VR6Oxtp7Onnetv2cK6TavP+NjXre3i6tUd7Do6w0uHM9QaDpqq0NcW55YreulsWVzaeiyk8fM3rOT+rQO8NlagULdRheC1iRKP7suQNRus7UoS1lVcz8d2fVQBPakwri8ZztZ4bF+Gjd1Jts8xiNoaMwhpKqbj4Uu5oDVu3fYI6yrpplXtmxJNVfjcA9cQ1tQzCnA7RrHu8Fv/tItvvjjGZ965iY3dyfOwyqVFU5VlU3XZPVHi9x/cw3NHTw3oXCwfeMsAf/Duq5qOUU2ApsBocolQf/FFsn/5V9ijo/jVKmoqFdxR9zzs4RGc8QnssTHciUlaHnj/BRcZQteDjbDvwzy2slo6jRKJ0Ni9GyUeJ7x+PSBRkyliN99M/LZb0ToW7slfuoWLuZOfzuTfZwXHYofSRSiEUBR8L7hL5lYqNIaGg7kUKRGG8fqAvOshzTrS8yg88mMSt28nusxTxVevG2DV2n6mx2cYHZrEtmx0Q6dvRfeCIXwLoakK163t4rq1Zz98fQxDU9i6KqiU2a7PN18aZ6rUYEVbDH9WSJRMG9eXQWaIIogZGrGQykTR5JE9U2xb33Ha99OfjjDYEWesUKdkOvMKh2MDruu7Etw8ePEHW5tcHDRV4X+8bwvxkMoXnxk+q2M8fTjHOz73BA+8ZQX/4e71y2YDv1zJlBt89qH9/NPOsXMyLfzXt67md+67olm5aHKcpsBosuyxR0fJfuELWIcOocRihDZsOHmAuqsLr1jEPjpE6Qc/QOvsJHHnHRd0jcaqVTT27w/u4LfP75rh12po7e0k3nYXnZ/8JMC8lY/zid7ZiRKJHBdtx1DCYYSqBlWiY6LBdYNqhWGc9CHiWxbSdVHisUW3dYUHB1ESCezJKXzbxhoZDWx9VQURDoOUQbuU4+H7PhIFgYKczjD5hb9h9R/8Pkpo/o2Dmc2R2fEiZiYLUmKkEnRcdw3xFf0X5ENQCEF3fyfd/cvDanIhXhzOM1VqoKoKdctlomhiOX4QiqcABFkcpu1hqAJXwqFMlUOZKutOk9ArhOCOjZ3snSwzkq8TNVRCp8kIkVIGrlZhnY3dgZVnkzcviiL4vXdtZqA1yh98f+9ZbXp9CV/bMcK3XxrnIzev5N9sW0P7ArbMbzYylQZfePwIX3p2mIbjn/VxFAH/5Z2b+cjNK5vioslJNAVGk2VP+aGHccYnEJEIWk/PKb/EhBBo6TRCCJzRUco/+hHxbbctqcXrQsS3b6P+wgvYIyPBQPccVQzpebjZLEZfH/Ft2y6asDhG7JZbMF97DTeXQ0kmj19btbUVZ2YGWashDQOEON4Cpr6hBco75np1ww2LTvc2enuIXnEFzsQk1sgo0rJAgAiHkb6P07ADYeFLkD5SgkDgV+uUnt9J9tvfpfOBnz/tse1SmcP//F3yr+3FKpZwzQZIiRoyGH/sKZKrVzL4vncRH+g7t4t3mTFRMqnZLgIYL5jUbRddVYiFNY53PEhwPEljNt37aLbGWL5+WoEBcOvadp4fymN7PgczNTriBm0xA01VkFJSbrhkKhaqItjYFecjN6+6IO+1yfJGCMGv3LaGNR0xPvW1l6laZzcPYDoef/n4Ef7hmWEeeMsAH33rala0La6N8HJlOFfjb548yj++MHpOwgIgEdb4/Ie2sn39Bay6N7lkaNrUNlnWeJUK9Z0vBIPFnZ3zJ2CnUkjAmZjAfOWVC7dIIHLllYQG16AmE9hDQ8EMwxs4FrSnxKIYq1cTvfbaC7rG0xG76Ua0rk7wfdzp6eN2j0o4jJpIoOg6fr2ObDSOty6dKDDcXA6vXEbv6CBx++1ndO7U2+9B7+05PgciNA3p+dimhed6+J4/GzZIUNnQdSQSt1xm4u/+gdruvacc0yqWePXzf83E409TOnQUz7IwkgmMVDJwSRoaIbNjJ6/92V9TPnp2LRiXK74Pvh/Y1NZtl5CmEtIVTmqnFqBrgeuU50uqlsuhzNyWvJqq8Mk717F9fQeDHTEs12fvVIXdEyVenSiTqVi0xw229Kf4rXs3MtD65t78NTmZOzd28c2P3cK6zrmzXxaD6Xj8/dND3P7ZR/n1L+/kyYNZ/DMI97vU8X3J4wdm+LUvvcDtn32Mf3jm3KoWABu7E3zrY29tiosmc9KsYDRZ1lhHjuCVyohweMGkaCEEWksLXqmEdeDgoi1TlwKhqnR87GNMf/Z/0ti/H+vAAZREAiUefDD6tRp+qYTamia0bj0dH//YBa2wzIUSjdL20Y8y8/k/wz56FLtWQ2trQ4nF0Ht68KsVsO2gehEOo3Z0IB0Hr1LBy+fB8witWU36gx+Y00FrLqKbNtH2gQeo792HLBbxJbjCPv7BL+TsuIemBla5oVDQNlWp4uTzjP/N37Hm9z+DNnuNpZQc+IdvUNx/EKdWJzm4CuWEa2wkE0Q62qhPTlM6PMS+v/0K1/6nf48ea25qAVJRHdv1sVwfRQh0bR4xrwiEAM/32T9dmfe4YV3l379tPa+Nl3h0f4aXR4u4vkQR0NsS4fb1nbx1bTux0MX/eWiy/FjfleC7n7iV//rgbr7+/Og5HcuXgePUD16bYkVrlPdf38/91/RdtsJ2JFfn2y+P843nRxkvmkt23F+4aQW/c98mwvrc84ZNmjR/ozdZ1kjLAs9b/GZc05C2jW9deC99raODrv/02xS++lXqL+/CK+Txq8HdXSUcRt+wgciWq2j94Acv7CD3AkSvvprOT36C3N/9Pc70FG4uj5wMrCKVaAw0HTwXEYvjVyr4pVKQm9HRgd7ZSfrn30f8rW89q3On7ryD6b//Io3de0DXkQ07aIcSs1ULVQ0GwmfdrIRQZlWHwJ7OUH52B61vuxOAytFhioeOYBVLJNesRjlNv79QFKK93VSHR6lPZZh54WV6t99ydhfuMuMtq1rxpMT1JJHQ/MVtzw9coaSEmUqDuu0SNeb+GRVCcFV/C1f1t2C7PqbtomsKEV1t9m03WZCIofJH793CW9e28zvffo2S6ZzzMUfydT770AE++9ABrluZ5r6rerh7U9clLzaGczUe3jPN916d5KWR4pIeOx3V+cN3X8XPXLV8rcKbLB+aAqPJskaJRIPWGXtx6cHScRCqetqwuwuBlk7T8fGP42Qy1J59FncmC0i0tjZiN9+M3nXuzj/ng8iWLfT+0X+nvmMH1aeexs1mAWbXfRNaVzf153dgj40hXRc1kSR6/XXB3MUCw9bzIYQgtGIFjclppOeDWw7GuXUNVPUUYSk9D6EqqNEIbi5P8cmnjwuMqWeex8oXCbWkTisuTjpnWytWNsfUMzvo2XbzRdnkjmWrPLFngkOTRRq2S8TQ2Njfyq2beuhOX/hB55aoQTpmMFEwcV0fQxWnvS5SShqOR0hTggBGCdXG/ALjRAxNwdCaVrRNzpx3Xt3LTWva+L3v7uZ7r555XsZc7BwusHO4wO//yx42dCW4Y2Mnt65t5/pV6WV/l960PZ4fyvPUoSw/2Zfh4Dwti+fC/df08pmf3URbc1i+ySJpCowmy5rQ2kHU1nRgT9tooITDcz5XSolXKGCsWkl48+YLuMpT0Ts7aXnXuy7qGs4UJRQiftttcyaIR644P8msiRvegnnoMPWRMUCgRCNzhiZKx0YxDPSOdpyZHHYmg+84KLpObWwCp1Yj1te74Dn1eIza+ARmJovXsNAic39fLTWm7fKlR/fx0pEZ8pUGZfP1trDnDmX4p2cOsXmgjV+9Z9MFFxpXdCc5MFnBR1K3PQxNQVMCoSFnqxuW66OpCvGwhuMFrU6aenHH+aSU7JuqMF4wcX2fZETnmoGWRYueJpcOHYkQf/bhrdy/e4rPfGc3U+WlrVbvn66wf7rC//7pYQxN4Zr+Fq5d2cLWFWm29KfoToYvWtVNSslkqcErYyVeGinw4kiBXaMlbO/c5inmozcV5r+9+0ru3Lg8b441Wb40f/s2WdYokQixm27CGR3DnZpCXzm3FZ6XyyF0HWNgBeErrjj5sUoFe2gI37JQIhFCg4PzipUmF47krbeS/+FDyMNDSDn3B6V0HKTnoUQi6K2tONk8SJCOC7qO77jgy0UlugshgnYrKfFPM5B/vrBdj7/4wau8dDjDdNGkJW7QnoyQrwXJ2LmGheeZDGXrPHtohndsXcHPbF3BYNfSh4bZrs/O4Tz7pypYrk9EV4mFdHpaIsxUGiAEtuvRkCAINjeqohDWVeJhjc5EmEzZoi0eIhW5OAnEUkoe25/h4b3TDGVrVC0XKYMqSXs8xC2Dbdx/TR8tzfC+y457Nndz67p2/vKnR/jLxw+f89Dy6bBdnx1DeXYMvR4+l47qXNGTZG1nnDXtMVZ3xOlPR+hNRYgYS1PtMG2PiZLJWMHk6EyVI9kaB6er7J0qU6yfe3vYYogaKr++fZBfuW3Nkr2vJm8umgKjybIneffd1Hc8j7l3L87wMFpPz0ltOcesX718ntDaQVL3v+u4CLHHxqg89DC1F57HK5XB9xGaitoatP4k77570dkNTc4Pelsr7e++n9rBw9gzWXyzgRoJwzGh4Hn4jhO0ZkWjGL09SN8HRaBEwiiz1Qc9HkPRNXzLQjXm3/D6rhu4Ymka2iKtdZeCH+wcZtfRLDNlkzXdSUzHYzhXx7Q9HF+iKQJFU7Ecj8linW/tGGLPWIFfvmMjb1m7NHM7Ukoe2j3F91+dZLLYoGQ6eDI4d0RXqTZchBD0pSOU6g6m4yGRCASxkEZb3CAV0RnJmbTFDbat77goyb2+L/nbp47yyN5pJoomjuuTjGgIIag0HMYLJuPFOq+Mlfi/7t1Ad+rCfZ2bXBiihsZv3L2eD9wwwGd/dIBvvTTG+TaHKtQdnj6c4+nDuVMeS0d12uIhWmMG6ahOLKQRMzQihoqqCLTZnxPXl7ieT8PxqdkuNculUHPI1SxyNfuCiYjToQh433X9/OY9G+hKNm/CNTl7mgKjybJH6+ig45OfYOZPP481NIR9+DAiEkGZTfL2qxWURILQ2rW0fuiDxK6/HphN//7CX+NMTOAVCohj4XGOgz0yijM6Sn3H83R84uOE1qy5yO/yzU3L3W+j/PIrzHzrO/iWjVevn/S40A3UWAyjpwe9rQ1rcgo9nSZ53bXHxWTrVZvIzWZf6In5bS2tQgkjlaR184Z55zWWEsf1eGbfJNPFOgPtcVxfcjRbo2p5qAKihoI2K6oMVdCwPRq2w8GpMn/36D5aYgbrelILnGV+pJR86ZlhfvDqJCP5GooQpGMGmiJwPJ9MpUHd8fB9yVSpwabeIBvF92WwQVIVfCmZLDZwfUlPS4Tt6y9OkOA3Xxrj4T1TDOVq9LVEaInoJ1U3G47HWMHklbEif/zwAX7vXZubLVOXKT2pCP/z/Vfz67ev4U9/cogHd02cd6FxOgp1h8JFFAfngiLg567p4+N3rmWw49xsgZs0gabAaHKJEBocpOvTn6b8wx9Q37EDt1BAOi6KoqD39hLZvJnEPXcTmZ29aBw4QPav/grr4CFEJIKxdu1JNre+aeJMTdHYs4eZP/08XZ/+T+idl0bi8uWIEIK+j/0a9UOHqe3eAwiU2b5+oWloLS1oba0ooRBerYZbLBEZXEPLtluPH6PrxusY+eGPaWSy2JUKRuL04W+eZWEVCiRWDtB9y40X4u0BsGsoR6ZUR1ODwegDU2XKDRcJSAGe56OqCoaqBDMNwgvsYlWFsVyN7704wr+/76pzWsNj+zP88LVJjmZr9LdGSIa1kzblHYkQMxWbw5kqluOzZ7xMWyJEMqwjBNRtm3zNJqKrrO+K8/E71pKOXfj2o6rl8qPdUwzn6qxsjZEIn/pRFtZVVrfHODQTpI0/eTDLPZu7L/ham1w41nYm+NwHruVTd63jr584yv95cQzbPX/zCZcDIU3hfdf18yu3rWF1+4U3l2hy+dIUGE0uGfSuTtp+6Zdoee/7aOzdg1+rIUIhQqtXo3efvHEofec72COjKLHYadO/lUgEY9UqnOFhrKEhyj/8IW0f+cgFey/S8zBfeYXGvn3IhoUIhwhv2Ejk6i1zpoBf7mjxON0f+gBTX/ka5tEhtHgcLd2CGo2CEPiOg53J4OTyhAcGaL3rdsIDA8dfr8djrLj3To7UTaqjY3gNm1A6dTwLQ/o+drmCmckS7eqkY+vVpNZduMpVpljHtDxcT3JwskTZ8vGkREHgM2tSIH1cz8dQFVRF4PmSeEhjptJg71iByUKdnvTZOaT5vuSHr04xlq/T2xI+7dyEEILOZAjPl0yVTKIhjbCmUqjZSILZhjXtMVa1x/jILavY0L30syGL4cmDM2QrFhFdOa24OIaqCLqTYTIVi0f3Z7h7U1fTFvdNwGBHnP/+nqv4zXvW86VnhvnajhEyFetiL2tZ0ZUM8aEbVvILN61oOkM1OS80BUaTSw41HiP2lrfM+bg9NkZj3378apXQhg1zbiiEEGg9PdiHD1PfsYP0e9+LElu6Ozh+rUb95ZfxSiWEoqL1dBO58kpqTz9D6fvfxxkfwyuWZq1XVdRUCr2vj9R97yB2661vyo1Q+vZtSMch88/fwsnlaIyMIhQVRJCErqVSRNasJn3nHXT+/HtPeX3fXdtwGw1GH3qURjZP+fBR1FAIhDjuFhXv76V96xbWfeh9F/QaSyQl06Zs2lieBASqEK/PL0iBj8TzJTZB2J2qBKF2yYhBqW6zd7xw1gJj90SJkUId15e0ROefUelMhsjVLPpaIty1qYuG4+P5PqmowU1r2tjYnbio35+7J8oUTYfWRVRPkmGNsUKdsUKdbNWmI9HcTL1ZaI+H+I271/PJO9fy6P4Zvr5jhEf3Zy5K+9RyQFUEd2zo5IM3DLB9fcdFd39rcnnTFBhNLjvMXbvwikXUVGrBaoASCiHCYdx8AXPv3uPzG+eCVyxS/O6D1Hc8F4TWWRYIgRKNIn0Pv1LBq9ZASrR0GhGJgONgj4/jTEzgTE3hZnO0vPvnznktlyKtd99FdOMGio8/QXnHC3h1E5AohkH82qtJ33YbkfVrT7vBFUKw6mfvpWXdIJNPPkt+9z68RgMkKIZOcnAV3TffQMfWC18pMjSVqulgOR66ruF5EnniRkeAgkAoQZCdj8TQFHRVwdUC4WFa3lmf//BMlYrp0BLVFxQHqiJIhnUs12dDd5Jt64MB84bjUTYdZioWqahO6ALNr7yRuu3i+RJ9ERskIQSaogTXz3aBpsB4s6GpCndv6uLuTV3MVCy+98oE39k1seRBdMuV61amuf+aXt5xVQ/tzWpFkwtEU2A0uezw63Wk6yCMxfWGi1AI6Tr4tdo5n9vJZMj8yZ9gHTiIm80iwmGUSASkxDpyBL9aRfo+Wmsrxvr1KCdsctWODrxiEfvoUUrf/Q56by+xG2845zVdioQH+un+8AfpfN97cEvl4Jolk6jRhZ2ApO+TXLuGlg1rsUplGtk80vcIpVJEOtvP67obtkvdcjA0lVj45I18zfaQs/+rCAGc/jZqYKEbtExJIBHRqTQcQrpK6BxCvxxX4ksW7fikKOBLie36HMpUeXTfNDuO5jGdQOTEQio3rm7jzo1drLrAvdthXUVRBO4ibkVLKXF9H1URyz40rcn5pyMR4l+9dTX/6q2rmSia/HjvNA/vzfDs4dx5zZO4kBiqwi1r27jrii7edkUnPU0HtSYXgabAaHLZIQwDFBXpLfJur+chhLJoQTIXvmUx86efp/HabvxGA2PNmpPsdL1KBVmtBtkLpok7OYnR3//6uoVAS6fB97HHJyg/9BDRG97ypmyVOoYSCmF0LmzPatfqjL34GqM7X6WWLYCUhBIxeq/exIobribWlj7rNTiOx4GhaYrlOkIIWltirFvZiTp799z1fF4bmuGp3eMcGi/g+UF7U1drjFs29XHDhh4iIZ09Y4UgRVxTcV0PccLsxYlfYyklJ5Y2fB/KdZvB7hTres5+5iEWUtFUQcNZ3M+F7fgkQjrPD+X54jNHmalYFOo2qhBIAvExkjd5bH+G910/wDu39F6w79UrepI8dShLvmYvmMFRsVx0VaEnFTmvd2+DhPNAyBhas/XkUqC3JcIv3ryKX7x5FTXLZcdQnqcPZXnyUI59U+WTK4zLGCGCkMxb17Vzy2AbN6xubTqmNbnoNL8Dm1x2hNasQU0ksEdH0brmH+o8ZnOr9/aes1VtfccOrMOH8Ws1jMHBk1pw/HodaZoIKRGxGL5p4uXz+J2dJ7lbAajpNO70NPaRI9hHjhAaHDyndV3uTO89xEvfeJB6roBZLOM0gmRfVdfJD49z5Inn2HDPdga333hGG+CG5fD48wd5afcIuWINy3YRAkKGRldbkuuuWsnVmwb44sO72TeSI1cxqZoOqhLYuo7MlDk0XuAnLw3zK++4mmrDQdODoelaw8Fx/dm5C1CDJDt8ebLg0DWVbKVBNKSxrifJyo7TO2MthmtXpElHDfZNlemdtZ2dC8vxMB2PhuPx4kiB0XyddFRnfWfi+ObZcjyyNZsD01W+vmMEXVH4mat6znp9Z8Jt6zr49kvjTBZNapZLLHT6jzJfSqbLDdrjIW7f0IFyHvI6hrI1frJvmueHguqOQNCdCrN9fQe3rusgPsfamiwvYiGNOzZ0cseGwE2w3HDYNVrkxeEir46X2DtZZrxoXuRVBvS1RLiiJ8mW/hRbV6S5eiBFInxxwi6bNJmL5m++Jpcd4c2bMfr7cSbG8Usl1JaWOZ/rZrMoiQSRKzejd3Wd9TmllFQe+yluLovW2XlKf3/QthUkTgtNQ2ga0nHw8nmUNzhgCUVBTaXwKhWsy1Rg2DNZ6keOBqF40Six9evQkme+eZ45cIQXvvRNCiPjKKpCtK0FIxYMQbsNC7NYJndklD3/8mOk9Fl3xy2LOm61bvGlbz3DwaEMuWINTVWIhHWkhFLFJJOrMJ4p8o+PvEpF0SnUbNpTEXrb4qiKEnw/mDa5kkmlbvMXD76Eq+qoiqA3HWO6UIO6TdWWeFLie8GtUlUIFEWgqgqu5+N4PoWaxWBXkrdfM7DAquenpyXClX0pJosmk0WTvnTktIJLSslEsUEyomPOioiBdITkGyoFIV2lryVC1FA5kq3xTztHuWlN2wWxrU1FdO7c2EnJtBnK1RhIR0m8wXLXdn3GCnV0VWF1e4xtS5zX4fmSr+4Y5qHdU2SrgX2vlBIpJYdnNPZNlnlw1wQfu2Mtm3vPLb+kyYUnGda5bV0Ht617vYJarNvsn6pwNFvjSLbGULbGRMlkotggX7OX9PxtMYOeljC9qQir22Os6Yixuj3Ohq4EqQVMGpo0WQ40BUaTyw6hKCTuuRt7fBz76NFgwDqZPKUNxcvlZtO/15K4555zOqdfq2GPjODXTZSVp2lj8f0gOfrYGnUdaVn41erpD6iq4HtIa2k/tC42tUOHyT70Yyqv7cabnUcRqore0kLy2qtpv/duwj2LyyrwHJeX//n7FEcnMKIRYh2tJ32N9UgYPRKmUa5SHJtk/48ep3vTOhJd87dc+b7k6w/uYO/hKSrVBr2dKcKh1z/QpZTUGzbDEwUsT+LqBmvW9qOf0BYjhCAZDZGIGIzOVBiaLpGMR4mHdeq2x5qeFsp1m/FclULdYVZfBG1ymkLQJRW8l8GuJB+4dZAtK889cf491/VzYLrC/qkKI/k63cnwSXMdddtlqtRAEMwrWK5HMqydIi5OJB01KJkOuarF4wdnuP+avnNe52J4//UDFOo2P90/E2zySpJkWEcRAtPxqFoubfEQ67vi/MbdG5a0khAEFg7x/VcnGc7XaI0arOuIEdJVpJSUGy4z1SCV+Y8fPsB/vHfDRbP0bbJ0tEQNblzTxo1rTv1ZbDgeuZpNvmqTq1lUrSChu2p5OJ6P50scz0cg0NTAPc5QFeIhjVhIIx7WaI0atMUNWmNGc16oySVPU2A0uSyJb9+OMzFB+Uc/whkdg+lp1HQaNA1p20Gyt64TWjtI+oMfILJp0zmdT5pmMMuhqgjlNP3XmgqKgnScQGQEU7xI//RDhdK2EfE4SuzsLEmXI4Wnn2XiK1+nMTmFV6mgxGIITUXaDtbEJI3JSSqvvsbAv/nXxDeuX/B4k6/uo5bJIaU8RVycSDgZx6mbmMUyw8+9zJXvuvv4Y77vMzySoVwOBvxbUnHqjs+hkRlKFZMVvWm0N1SjhBBEIyEUXcMx6xiqSs1sYHrBXW1FCKKhYFOuCEFfW5yD4wWiIZ1ESGeiaNKWCJGKBX9KdZvpkkndcnH9wFnK9jwiIZXr13TwK2+7gmtWnbu4gCAf4BN3ruPPHj3IeMHkUKaGoQUJ3Y4bbILa4gar2+PUHZc9E2VWti38PdgWCzFRMnn2SO6CCQxNVfj17WtZ0x7nkb3TjBfqVK0guDAV0VnTEef6VWnes7WfzkR4Sc+9Z7LMw3unGc7XWdUWO0m8CCFIRXSSYY3xosmRmSp/99RR/vDdW85Li1aT5UF4tqLX19IcqG7SBJoCo8llihCC9Ac/iN7VFYiMyUm8UhlpNRCqhrFyJcaKFaTuf9eSWNOKSATUYLBc+v4pIkNNJIO2qEbjeDUDIU4rRqTr4lerGP39RLZsOee1LQcqu/cy/uWvUT9yFC2ZJLpuLUJ7/dePbzvY09PUDhxi9At/w+rf+o0FKxljL72GWSwTaUkuOFsRSacojk4y/vIeNt13F76UvLBzP7t2HSGbLWLbLgCGoZOzfHJ1h5ZE9BRxcYx6w8HxJI6qU5Mq+ckKUlWRyON3KMO6SnsiTHsiRCJq4LgeiUiIZFRxdYOCAAAgAElEQVRneKbKivY4mqqQihpBO5LtUW445CoNIobKFf0t/D+/cCOxJeytdj2fwc44v3vfJn68L8Mzh7MU6w6+L1FVQXs8xK3rOrhrYye//c1XsD2fyCLupEYNFdv1KZnOkq11MSiK4Geu6uGezd28MlZkvGjieD4tEZ2tK9KkouenXesnezPMVBp0xI05KyNCCPpaIuybqjCcq/PaRIkt/XO3azZp0qTJ5URTYDS5bBFCkLjrLuLbt1P5yaNUHnkEN59HaBqhwUGS97+L8Lp1S3IuJRYjtHIl9sgIXqkUuEGduBZdR02lgrYoywrapXQdJR4/6XlSSpzJSdRUisg1V6O1Lc2d64uJlJLMv3yfxvgEekvLaV2hFEMn1N+HNTaOOTpG9uEf0/+RD897XLNYxrVtYtGFr5EWMoJrazaolSt870c7OXBwjHy+gpSSSNhAAoV8hSkbbF9gKIKWZPS0d51dz6fmC6paGBcBrk9YVVGFgkTSmB2Qtmb/RAwVy/G5frCDg9k6+yeKHJgskYoawXCmgLrlUqjZJMI6a7qSfOodVy2JuHA9n53DBR7bn2H/VOW4mNjYneQjN68iEdZxPJ9oSGNN++ttPsqsaAsiAecnGExfvAXuUqMqgmtXpLl2xdm7hS2WquXy4kiBUt1hQ/f8c0NCCNpiBrmaxVOHsk2B0aRJkzcNTYHR5LLGKxbJf/krQaJ2oYBfr4EEZ3KSxp49GGvW0PrhDxNas/qcziOEIL59G+aePThTU6jJ5CmD3lpXF16lgl8uB+1UoRBaa+vxx33Lwp2exrdtjL4+9IEBai+8EPy958K485wPzOERzKND+KZJeKB/zucJITC6OjEPH6G88yXcd9+PlojP/fzj297FekkGA7g/eGgne/eNUChU6GhPEYmEjldAXM8nO1Kg0XCp1UwyMwW6u17/GkkJVdNmumJRkiqOUFClj67Ik3qmDVXB9SV12yNbCQamI7pCMmLwW+9ax5cfP8ju0TyFqkWhZiEJhqZ7W2O0JSPcvaUfMTssfi7Wr7mqxeceOcD+qQq5qkXZdBFKIAiGszV2DufZ3Jvik3eto+WEu/3H7r4fzFQom85Jj52OUsMhZmj0ppa2FWkxTBRNxmYTylMRnQ1difOaUFys29iuj6Yqiwr6i4U0SqWlHwJu0qRJk+VMU2A0uWxxCwUyn/0sjT17A7eoVAq1JQ1C4NfrWEeO4ExN4UxN0fmpTxHesHDf/3xEb7iB0MOP4Fcr2EePovf3o4Rf33CJUAitvR2/UgHDAM/DHh0NWqdcF9+yEJoKMhgaL3zlq8cTwMNXbCRx511Et157rpflglPdvRenVEJLpU4/n3ICimGgRCI4xRK1AwdJXLMFz7JQVA3FODm4LtqaQguFcGom2gIZJo7ZQCgqph7m8JFJ8vkyfb3t6PrJvwJVJRiyVlSBbblUqyZWi4Nh6GTLdQqVBg3HI+8puFJF4COkjy8F/gl3/YUQ6Grwd9PxcF2fwa44nS1RWuNhPvWOq5jIV3l87xSZYp3JUoOJioXpSiaqDl98eoiwPsLKtji3X9HFtg2di9rMnkjZdPgfP9zHK2NFSqZDRyJEf2sUVRF4vqRQsxnJ1ak2XGzX59P3XXGSd/72DR28NlEKUrsjc6d/+1KSrdj0tITZvmFpnZrmY+dwgYf3TLFnokTN9vClJKQFeRfb1ndw7+bu85IFoIgzE7bHKkDN8YsmTZq8mWgKjCaXJVJKsn/1Bczde/CrVULr1yP019tN1GQSrbMTZ2IC6+BBsn/xF/T8t/8bNT73HfOFUEIhOj7xcWb+1+doHNiPffQoIhQ6nuTtVSoIRSG0YUPQQqVp+KVSEAgoJW42Gwx+ey5uLnf8dc74OM7EBI3du0m+4x20vO99l1T4nm+aSNc76frPi6ZhmhYHf/gT6v/8PTzHQQiFaFc7vTdeR9d1V6NHI/Rfv4WJV/dRmc4SXmAO49isRqWlnXKuTjIRO0VcwGwlKhTMQ0gBruNRLFUxpUK5ZmE5Hr4AWwkjhUDxPSTgSTAtl0hIO2EDCpoiaEiwPB9N07hufTdTJZPH903zzKEZKqbDWMGkaDrB3D+QCGkgBKbtMlaoc3C6zEvDeT7xtg1n5CzzrZfG2DNZpmq5rOtKnNS+pCqC9kSIlqjO4Zkar46XePDlCR64YcXx59y8pp1vvjhOrmoxVjTpbznV1taXktG8ia4pDKSjXL+ylfONlJJ/emGU7+yaYKpkUrVc4kZgUZtxPEbzJkPZGi8MFfjNezbQusS2ua0xg2hIxfUllusR0ub/mlQaDhFDpTN54as7TZo0aXKxaAqMJpcl9pEjWPv24RUKhNatO2mg+BhCUdD7+rCPHsWenKD25FMk337vOZ1X7+yk67f/I6UH/4Xac8/hZrNI2wYBxsAAel8fidtvJ/G2u/DKZeovvohXrlB55OEgfK9SQR8YCByWjvXAex5eoYB15Cilf/kX1ESC5Nvffk7rvJAo4VDQ7uO5Cz7X9yX5qoUpbcSuPbi2AwiQPuWRMYqHhhj68eNc+UsPHLecrecKVKazJLraTysyzGIZu96graudMXSq1Tx9ve1zrqE9blAybeqWD65PrljD0QwsxyNsaDhCAU9BSFAAicAXAun5mJZLNKwdb9+SgJydeehoifH4/gz/vGOYXNUiX7UoWy4Nx8ebvfse1VVSEYN0PJgZKZsOY4U6jifRVYVP3b1hUeKybrs8cyhHpmwx2BmbczZCUxUGWiMMZ+s8eSjLz23tO75hjhgqH79jLX/80H4OzVTZN1WhLR4iHgoerzRccjWbqKGyvivBx+9cd0ESrH+0e4pvvTzOkZkaXYkQA+no8fcnpaRme4wXTF4cKfC/HtnPf75v04Ii4EwI6yo3rm5jLF8nW7XndQ3yfEm+5jDYGWf7+oUT6Zs0adLkcmHZCAwhRD/w+8DbgTZgEvg28F+llIUzOE4r8Bng54AeIAf8EPiMlHLsfJ67yfKh+vgTuPkcajp9WnFxDCEEWns7biZD9YnHSdx7zzlXB9RUitZf+DAt73k39V278EslUFX07m7CmzbhTE1R+NrXqT33HF6lglcs4ExMIj2P0OrVqLFYYGN7bI2qitbejjAM7KFhSt/7PvFt21Cil4aFbXRwDVoyiTkygtHZOef1lVKSmcpSaTj4mkYsEibW34uq68GAdrVGI1egUSrzyhe+zDW//stc+8A7ee5vvkF+eIzC8DiRdJJQLAYCHNPCLJbwbIf0QA+b3vk29j19GM+TaPNsOJMRnXhIw/F8GpaLYrk4Uj1enbB8ArcoCUIoSCGQCKSUQTie66MqAsf1cT0fTRUYuga6xlefOcrQTJVEWKcnHaGRrWN5kpiq4vnB5ngkXwURJx0zSEUDP/zDmSovHM2xd7LMpkWEtu0cKjBTtQjryoJVj6ihoamC6ZLJK6Ml3rL69SrEFT1J/uPbN/KFJ44wkq+Tq1oU68EsQcRQWdUeY1VbjF/dtobV7Wdf/Vsspu3xnZfHGcrW6G+J0PKGwLGgAqUx2BnjUKbKnskyzxzOcfsSt27ddUUnjx/IcGC6StRQSZ9mRsWXkuF8nWREY11nnMGO8399mjRp0mS5sCwEhhBiEHga6AS+A+wDbgD+HfB2IcRbpZS5RRynbfY464GfAF8HNgK/DNwnhLhZSnnkfJy7yfLCHhnGr1TRBxZOP1YSCeToKE5mBr9WR43HlmQNSjRK/OabT/q36lNPkf/iP+DMZPDyBaSiICsV/HodNA17dBSvXMZYufKUIXE1mcTNZnFnZqg9+xyJO+9YknUuNW6thlsqI1QFvaWF2MYNhAf6sCYncAtF9NbTO/3UaiblfBlPKERb00S7X09WF0JgJOLo8Ri1yWnKI2Mc+D8Pct2/+1Vu+Oj7eenr36UyncUslqll8khA1TW0WJRIRzuDb7+DVTdtRXt+CEUReJ4/p8gQQrC6PY47Xca2HFwpEJ6H54AHeD5IJQxKMOQrVW02SMvHlxLTctE0BU1RiIZ1FEUhGTXYM14iZ0u6UxHSMYPJkont+WiKIDR759/yfOqWx3i+TjISJH+HdJX2RIhs1eKxvVOLEhj5mo3leMQWGS4XMzQark++Zp3y2LquBH/0ni28Ml7kqUNZZioWQgg6EyFuW9fB5t6FbYKXimePZMlULAxVOUVcnIimKHQlw2QrFo/uy7B9fceSrnF1e5z3v2UFX31umKPZGsW6Q1vcIKKr+FJSNl2yVYtoSGN9V4Jf2z54SbU1NmnSpMm5siwEBvDnBBv8T0kp//TYPwoh/hj4DeAPgH+7iOP8IYG4+BMp5X844TifAj43e5439pYs1bmbLCOk4yClhAWGiiHYUKIoIH1wz5+Pf33nTnJ/+3dYR46gxGIYq1cjVJXGnj1BlcUwkKaJ5/vYQGj16pMqGQBaaytesYj5yq5lJTCklNT27qPwxNNUXn0V3w6uoxqPkbr+OlJbr6ExPoF5dAgALd1ycrK671OYyOC6LrphEJkjbVsIQay7k+LhIUrDo5SHx2hbPcAdv/VrTL66j5Hnd5Efm6KQK1FuONihFG6kleFnD7JrOI+hqUSjIapVk5aWue8o65pCZ1ihXoUaAtXQjntWRTSFmlCwhYJq6GiqgiEljusF4kIVtMbDRMM66XiIoUwFKQQOgnhIJT07E1AyXRzPJ3xCW1FIVXA9H8v1KNRs2hMhANIxg/2TZXaNFvF8uaAdrCKCwWL/DAeR59oEK4rgmoE01wycfxvY+Xh5tEihZi9qriIV0RkvmhzNVsnVbNrjoSVdy31X9aCrCv/0wijZqsV02cJ2fYSAeEhjRVuM1e0xPnHnOnpSzfC1Jk2avLm46AJDCLEGuAcYAv7sDQ//F+BXgV8UQvymlLI2z3FiwC8CtdnXncjnCcTCvUKINceqGEt17ibLDyWeQOg60rIgNP/GQjoO+D5C089b25F0XQrf+Ab28DBaOo3WGbRs+I1GIISEQAmFkLqOrNXwSiW8Ugm15WTffGEYgeNUrX5e1nk2SNdl4qvfoPDk09jZHG65jKJpwfvyfayxCfT2NqKDawCwxiewZ2YCVylNxaubmNkcdQw8ESShl0YnMBJxQukW9DekmQtFIZRKYhVKTL/4CqlVA6i6Rv/WKylrEV74wTMUnShVaqioKKU6TrZMNlNAC4ewTBvTtEgkoqhzODO5rke1ahKP6NRDSdpa4wg/2KxrhoZhSyZLDezZdihFCEK6huP6REM6q7pTqIogUzKDuQ0JZdtnZdvrG01vNrVbecOm3tAUbNenULOOCwxdVRAQtG0tojLRlQoTMVQmSw26k/Nb3UopqTQc0q1Rupb5IHLd9nB9ebziMx+KEOjKrF2w5cISCwwhBPdu7ubmwTaePDjDc0fylEwHTRX0p6NsX9/Blv6Wi5YN0qRJkyYXk4suMIA7Z//7kJTSP/EBKWXl/2fvvqPjyu4Dz3/vS5UDqpBBkCDB2CSboaM6spNCSy1ZtmRJDuO1Za3DyEEe+4xmxusdz+6ePZ49Xs+OvGeCZ2c8s7bXOmNltZWsjlKr1Wo22YHNTJDIsVC5Xr77R6EZGiABkgCBbt7POd3gqXp47xYK4f7evb/fTwjxQ5pBwN3A969wnvcAsbnzVN52nlAI8V2aAcNDwFvbpJbr2gAIIQ5e5qnti32usrzi+/dRP3SIoFBAT6eveKw/O9tsbLfnVsQi5U6vVf3wYbyxMQhD9LaL7s5rGkI09+9LKZtlXCMRpOviz8zMCzBkEDQ/J7Iy47xaUkrG/va/M/PUMzgjo5j5PImLunSHjoM3U6B+6jQyCMjeeQfO6CiNwWH8Shm3WMKt1LDRCYSGFBpBEBJU6wS2g1MqE821kOhsv2Q1x4hFcYol7GLp/GOnjg/y3Sd/yPjoNNFYhK51becrRUkpqVUbFGZKhFIjQDA6NkNnR8u8alKu6zExWSSTjqPrEYSMYsVjxCIXtuQYfkCp4VOxPRpuQMTUL5QhFc1k9alSnUrDo68jTdHXmC40iFkXtmW9dbx8Wyc7XROEIXjBhdWHUErCuWBkKYnUe3tb6MzEGJltUHevHJBUbB9NNCfFu3oW3361mixDQxPNMruLkVIShHIu+Fu+JO+3S0dNHt/dzeO7u1fsGoqiKO80K1/yY3Hb5j6euMzzJ+c+Ltak4FrOs1zXVtaYxD33YLbmm5WZisXLHhfaNsHMDHprK8kHH1yx8dRfPohfmEXP5y+5myxMsxnUaBoEwfnHCALCarW5unKRoFhET6eI9G9esbFejcaZAQrP/xBnZJTo+l6sttZLkuq1SIRIdxdWWxuNs+eoHjlC3+/9Dhv/ye8Qv+suGsks1WgSt70Lkik0y8RMxDHiMdAEft2mMV2gNjG1wNXF+b4aYRjy/FMHmRwvkEzFaW3LXhI4CCFIpuJ0r2snQoghmhWURkanGRubYbZYZbZYZXRshtGxGdLpOP2be7jr/j2kExGK1UtzEyxDp68tSSpqouuCutsMNkLADySnxkqEEvq7svzcg9tJJCLIt21Xeiu52gsuubexoFLdIxk12JBPLKkfhmVoPLitnc5sjMGZOo4XLHic7QUMzzboyjR7WKz1u+2b25OkYwaz9cWb1tWcAE1r5oos9/YoRVEU5crWwgrGW7fMSpd5/q3Hs5d5/nrOs1zXBkBKedtCj8+tbOxfyjmU5aEnk2Q+8hGCWg134Cyh42Dkcud7McgwJCgW8ScmMLu6SNx1J9EdO1ZsPGGljPRcRPTSPgFCCPRcjrBeb5az1fXzOSFSSqTvnx9z6DiE5TJmdzfJ++9bsbFejcLzP8SbKWC0tKBfYXuZmWvBL5Xwpmco/+QgqTtuY3JylpIP8Y2bMJNx7JNnCBwXGUqEJtAtC6HpBLaDPTNLNJNGjzW38HjVGkYsSry1+fUcODXMzFSRMAzJXCG3wjB0WlszlEs1kpk4sVSCUqmK6zZL6KZTcTKZBLfs7OOB+29ltu7y4vEJTo/NkktHiVwUtMQjBps7U0yVHQpVm0rDwzR02rNxOloS7N3YxkN71rGxI8OTb4wTMw2qjk8q2nw/80mLmZpD3Q2wLmrS5wcSXeP8NqBQSqYqNp2ZGA9u72CpntjTzYmJMi+dkZyarJKNW7QkTExdw/NDCjWXYsNjXTbOXZtaef+uziWfe7U8sKWNrx8eYaLcbHh4uQpZUkomKjatSYsHtrat+cBJURTl3WYtBBiLubq2qct7nuW6trIKUo89hnQcil/5Kv7UFM7Jk83VAiGQjoMWj2NtWE/izrvIf/rTK1rlRRhm87qui1+rEToOSIkwDLRUEhGLISsVpG1DNNp8rpl1CzSb1bnnzmF0d5O4+y6M1sv3cbhRpO9TOfwqfrFIrL8fgMD1cItF/IbdfA26jplKYqVTmLkc3uwspVcOURM6dqGIbllEss0tbJFUksBxCX0PfW6rmmboSNMg9Dzs2RKJWJQwCHDLVbL9fXTe0exsfur4INVKjVQ6sej7mEjGKEyXiOuCT/7sAcYni5TKNQSCTCbBtm29RKPN63dFLW7b2knNdhmcKNPdmiQeudDV2jJ08kmLhu2Qzsbo68rwcw/tZGNnmpbkhXyG+7Z1cGK8wnTFIRlpNoVLWDqpqIkXSOpuQNxqBpduEBIxdHKJCH4YMjRTJ2rqbMgnuGtTfsnvj2Vo/N5j2/hPz5/hx2dmmKm5DM00mkniuiAbM9nemeKezW388r0bMa6yU/hqyCcj3LeljWLD48x0jb58fF637iCUDM82AFjXEl/2ErWKoijK4tZCgPHWKsHlNv+m33bccp5nua6tLLOgUsGfaVYHNvJ59FTqqs8hhCDzxBNEtm6l8vQzNF55hdBugGwmS0e2biX14IPE77h9XknY5Wa0tyFtpxnk6HozlwIQmkCYFsKyENEo0nEIKxUIQ2QQEpTLeKOjSMfB7Ooiftt+cr/wCys61qUK6g1CxwUEQtepDY/ilMuErj/3+prJ606xhG6ZRFtaCF0Xv1xm9tDr2LMlYvkLVYmiLVmcchWv3kBoGtrcVivNNPDrNk65QqyjlcrQKJGWDLkdW0jMVZuq1218LyCRXLxajxACwzTw/QApJXv3Xnm72ScO7KDWcDl0eoLxmRoISMYsBFB3fDw/IJ+Osa03x69/aB/Z5PxE6fu2tvHNQ0PMVG0myzbt6ShCCPrycYIwpGz7VN3meN6KK6uOz2ipQUvcYktHit9+bPtV5xJETJ1//PAWPrK3h6eOTXJsrEzd9XH8kPhcH4uWhMWJicoNLTd7PX7x7j6mqw4vDRQYmK4TMTQyMRMhoOEFlOoe6ZjJ9s40v/3IFrIL9KhQFEVRVtZaCDCOz328XJ7DlrmPl8uTuJ7zLNe1lWUgpcQ5dozKM8/QOHSY0LEB0CJRYntuJXngANFbbrnqSVB02zai27YRlEr4U1PIIETPZjE7bsydzaBao/H6G4S1GrLRQEYiaG8lkwcBYa0GjoOIRNAzaYJiqXn3PxoB38fI5zHaWkneex/Zj/7UiiWiXy1h6CAEYRhQOTeIV6kSOC7C0NFMozlLDkNCxyFwHALHxdCajQPdSpXQ8zCiFybjViJOvDVHfWoG37YJPR/NNBGaIJQhgW1TOn2WSCZNy+aNbPvYE+c/19D15nFLSP4FkDJsbsNaQofniKnzmQ/u5fuHzvKjN0cZL9SwXQ8J5NNR8ukYt2/t4v13bCIRXbg3Qzpm8csPbObfP3WCgckqFbtKPhkhETFYn4tzbqaO57uECExdkI6aRE2N7mya3b1Zfu7uPjquo9Tpulycf3RPHy+cnuYbr44yWa1xrlDn9dEyumiWobUMjc1tSbZ2pNjWmebOjblFm/StBsvQ+Nyj2/jyK8M8d2KKiYpNzfEJJUQMnW2dUXb1ZPnkHb2szy9PTxtFURTl6qyFAOPpuY/vFUJoF1dzEkKkgHuBBvDiIud5ce64e4UQqYsrSQkhNJrVoC6+3nJeW7lOUkpmv/hFKt/5Lt7UFGG5fCFfwnVxR0epv3yQ1Hsfo+UTnzif3Hs19EwGPXPjq+QU/vIvcU6dBCEQ8XgzmVtvlmPFNBGRCKFtN5vt+T5aMonRmif96KPouRxmdzeJO+9Ei62tWvpaLIaVz+MHIUGpTOgHGPHYpe+NriMMA+n7+PUGcu71Cl9rbhm7tHgb8bY8QtOoT88QeD6B6zZzUYIQKSWp3h6y/X3s+kc/SzR74b1s7cgRjUWo1xqLrmK4rkfgh8TjUbItS1sZM3SN992+iUf29fHmuWmmSw1CKckmIuza2EbUWvxX6R2bWtE1wX99/gwT5QaFqsN4qbmVJ2YZ3NKVRtc19m3I0ZaOkktY3NXfSucy9VD4xqujfPEngwwW6nhBSDZm4vkB4zWXhheAhGNjZTIxi3UtMTrTUd67q5Mnbu1ecysblqHxyTvX81P7enjxzAwjxQZ+EJKJmdy5MU93dm39rCiKotxsVj3AkFKenish+17gHwNfuOjpPwYSwH+4uA+FEGL73Oceu+g8VSHE/0uzFO2/BP7JRef5LNAHfOfiTt7Xcm1lZRS//GXKT/497uA59Hwrka1bz1cjkr6PXyjgnDmD/PtvIUyTlo99bJVHvDTuyAj1Q4fwJ6eI7tiBOzREWKkQ1moIwzgfRAlNa26PCkMi3d10/tPPk7j7rlUe/ZUJIUjt38v4sz8gsB2MVHLBwE8IAaYBzd1pBBISne2Y8RhupUYsb11ybLw1RzSbxi6WcStVfLu5ApLesI79v/2rtPRvnDfh3XlrPz954XWGzlXwPH9e6dmLlYtVUukE23dtxLIu3w16IYauceuma1/52t+XZ2dPlh+fnuaFk1MUag4CaEtHuW9rO/v78ksqQ3u1Dp4r8MWfDHJqskpHOkI+YTFetik2vGYvDyEQGvihpOp4DM1KRooNpqsOUxWHX7l3/td8pbl+yOGhWaarDgJBezrCreuyl1TRipq6yrFQFEVZg1Y9wJjzm8ALwL8VQjwCHAXuotmz4gTwL952/NG5j2//i/fPgQPA7wkh9gIvATuAjwCTNIOI6722ssy8iQnK3/o27uAg5rreefkWwjAw29vR4nHcwUHK3/4Oyfvvx+xYekWd1VJ9/vlmL45MBi0eJ9Lfjzc8TFAqNbuNu26zEYKmocViyDDE6Owkfucdqz30JZF6c5uUEAI8DxmJzPuhlFIS2nZz2xTQGBmj88CDTB56nerIGNGWzLzARDMM4q05YvkWKkMjRLo62P5zP01u86YFx5HOJNm6YwPVSp2JsRk6uvLzggwpJaXZCrbt0tPbwa37ti14rpUWMXUe2N7BA1dREep6SCn55mtjjBQb50u2FusuYyWbuhsQMTRMrfkeOkGIH0gsXaMzE2Vgpsb33pxgfS7OY7fcmCpTthfw9cMjPH9ymvFyA9trrnLFTJ2ubJQHt7bzoVu7VyQQUxRFUZbHmggw5lYSbgf+FfB+4HFgDPi3wB9LKQtLPM+MEOI9NLtw/xRwPzAD/Bfgj6SUwyt1beXaVZ97jmB2Fi2VumIyt55MEqRSBIUC1eeeo+XjH7+Bo7w27sBZgmoVYy4YEoaB1dfXzEsoFAht+0I1qXQab2QEfJ+gVMJoaVnk7KvPnS2ip5IgJdLzCGu1Zt7EXNK89H1Cz0MzDIxEAmmaBPU68UyKVG8PdqFIdWSMZE/XvCBDSkl9Yop6IHBiKWZEBPfIadZtWkckNr+vwUPvvYvibIUzJ4cZHZ4iFo+QSMQQmsBzPCrlOpqu0dXTxmOPv4d825KqT7/jDUzXODlRoe4G9OWbpYSnKg62F2LpGtZFKwKWruH4PlXHx9A01mVjDM/W+e6RCR7Z3oG2wuVeK7bHn373OK8OFZko2+iaIDnXJHC05jJcrDNUaHB0rMznHts6r4KUoiiKsjasmd/OUsoh4JeXeOxl/8rNBbjGvPoAACAASURBVAS/M/ffsl9bWX71g68QzM5irlu36LFGLoc7NET95YPviABDei6E4bwqVVokgtbVNe94f3wcZDivwd5qk1LSGDhL5Y03Cep1NNMktnFDM3iwIhhdCfxSuZlL4nlIv9lXQug6ejyOnkgQ7V2HPTY+l1MRcMs/+lkO/9//mdLAIMXTZ4lk05iJBEKAV7eZnK0xo0VxIlksGWPkyR+gGzqJdJL+Xf3su28fyeyFgDQStfjoJx7lme+9xPE3z1IpVSmV60gpsQyD1o4WWttaeODR29m0efHvtXeLU5NVyrZHJmagiWZTwKrjE0hJ/G2laQVgagI/lNQcn9akxVjJZmi2zusjJfb0rlxQJqXkz58+xcvnChRqLutz8Us6kEspqbkBg4U6Lw2E/IdnT/O7j25dc/khiqIoyhoKMJSbV1itELouIjq/vOfbiWgU6XkE5XKzpOcan1xoiSQYBtJxYJEkbRkEzQRww0CLr53qN9Wjx5j4+pPUzwzgF0vN4EHXMJKpZhK2bSPNFImtW/ArFfxSidD1EEIgIhZmrgU9FkPKZrNAzTQxUinine3s/eynOfY3X6J8dgi7WKI+OY2Ukik9zlQkg4MOZgRdCELPp15rUJgsMDs1y9DJQd73qQ+Q77zQGyIStdh3716qVoIfHjxJRdjIUBKPmmze1cf7D+ymbYmJ3e8Wjh8ShhJjbvWh4Qb4oTy/LerthABks8GfEIJs3KRiewxMV1c0wDgyWub14SLTVZet7cl5HcuFaK5m9LclOTlZ4eC5Wc5M1+hvu3xjRUVRFGV1qABDWX16s/EYYQiLVYeSzd4KwjDWfHABEN+3l/pPfoI/O4uevfLkLCgW0VIpotu2oyfXRoBR/MnLjPzlX9EYHiFsNDCyGbRYFBmEOOPjzdUKx8WrVLDa2zDSaYx0esFz+ZUKwjCIresh1tsDQKKjjf2/+2uUBs4x/tIhGtMFRqbKlMbKOK5Pti1HMpNCXLQ1x3M9ilOzDJ8Z4bt/+20+8qsfJZ6MI6XkuYOn+c4LxyiWGxSr9vmytY2Gz4tvjnBseJYnHtzJ3bf2rfjXbq1IRHQMXaNqN1fFQnnlzqGhBEPjfPdrTQgCCW6wsv1Gnz42yXTVoTVhzQsuLhYxNPIJi5mqw9PHJlWAoSiKsgapAENZdVbvOpwTxwnKZYxc7orHBqUSeiKB1dt7g0Z3fRJ3303xy1/BGx8nKBYvG2RI18WfmsJa30vqwIM3eJQLa5wbZOS//Q31MwPo6TTR3nWX5EmYrXmCSoXq8RMgwT59mtjmzQsGfqHv40xMEO1oJ3/v3ZccI4Qgu6mP7KY+fM/nzT//WxpjNfJdLcRT8wMt0zJp7W5jamSSqdEpjr78JrcduJ3nXznDk8+9yfBkkUQswrr2LJG5Pfq24zFbaXB2ZIavPvU6mia4c9eGFfiqLQ8pJWemazx7bJKB6RpuEJKKGOzb0ML9W9pIx5Ze/WpXT4Zs3GRsrpSroQk0BP7bSgQDhEj8QBIzm13GgfNN+dLRlf1z8eZYiWLdY3vn4itMLXGLM9M1joyqHqiKoihrkQowlFWXvO9+6ocP44+OoWezl+1xIcOQYGYGo7OT5AP33+BRXhstHifzkQ8TVCu4A2cJXRcjl7tQgldKwnIZb2wMo7WV2J49xPbuXeVRN8089QzO2Dh6IkFkgaaEQgiMdJrY+vU0zp4jmC3SGBom0taKPrcdTIYhfrmMMzWNmc2QumU7uXsuX3737LGzlKaLCE0QS8Yve5wQgkw+S2GiwPHDx1m/exvfeeEYw5NF2lqSpBOXbreLRky6IibFSoOh8SJPPvcmO/s7SSyQLL7aSnWX//DsaV4fLjFTcyjbPjKUmIbGwXOzfPWVET68t5sP7Vlaf4r2VJS9vS2MFhuMlWw6MxEsQ9DwIQzl+cRtCThe2Gz0FzOJGBp+EFJqeHRnY+xfv3JFB4JQNrdyyQtbua7E1DWCUNJwgxUbk6IoinLtVIChrLr4/n1Yvb0EMwW8oSHM3t75FYXCEG9oCGFZWL29xPfvX6XRXr3Uo48S1uuUvvY1vMlJnBMnmvkmQiBtu5mn0NNNfM9eWn/t1+clhK8Gr1SifOhV/FKJ2Ob+Kx5rtbfhzRSaCd8ypDE03NzGpmmEnoceixLt6iS9Yxt9v/Yr6JHLT+pHzgxTr9ZJpBOLTp6tqAUCyoUyz754lGKlQTxizQsuLpZNxajWHWbLdQ6+OcwDt135td1o5YbHn3zrGK/N5SLkEia9uRi6EDh+yEzNZbxkU3V86m7AJ+5cv6TzfmRvN0dGShwbLzNWckhFTRpeSMMPiJt6M7jwQwIpSUYMOtNRpJSMlmyycZM9vVna04vnSF0rXRNYuoYmmgnmpn7l994PQnRNELNW/2dFURRFmU8FGMqqE5ZF22/+JpN/+n9inzqJc/w4eksLWqK5PSas1ZplbJNJIps30/abv4GwrEXOunYIIch+5CNENm+m8tTTNF57jbBRBynRrAjW+vUkH3yQ5H33rpnXZQ8O4VcqaNEYmnnl7ThCCKz2VsKGTeKWHfhBiFcsIcMQzTSI920gf+97aLlj/6Lnch2XMAgxjMUnjkIIdEMnDEPeODNBqdKgM79w/sfFWtIxpot1Dh8fWXMBxl+9eI7XR4qUGh7bOpMYF+UiREyddMyk1PAYmK7xjVdH2d6VXlLi9cbWJJ99eAt//vRJhgp1ijWXUEr8UFKyPQQC02gmUW9sTSCAszN1glCyvSvFz+xf+apbO7rSnJmuUqi5dCwSzBTqLpmYyY6uxd9vRVEU5cZTAYayJli9vbT/we9T+K//FefUKfyZAv70NABaNEpk0yYimzeT+6VfwlrXs8qjvTaxnTuJ7dyJPzODNz4OYYieyTRXbNZYwnroesgwRCxhog/NcrQIQWrHNro+8TGcqRmk72EkEpi5liW/PtMyEZpGEMzPD1hwnH6AEIK64+N5AdHI4r/SohET1/MpV+0lXeNGmak6/GRghsmyw9bO1CXBxcUyMRMnFTBRtnnq6MSSKzvt6c3yRx/aybffGOPHAwXGSw1Gio0LVaZ0jaipM1ayCUJJPmHRm4vzWw9vZUN+5YsOPLy9nRcHZhiYqpG7QqK364fM1Dw2tyd5eLvq4q0oirIWqQBDWTOsnh46/tk/wx0YoPbCj/CnpwAw8q0k7r0Ha+PGNTcRvxZGPo+Rzy9+4CrSY1GEbhC67pKOD91mMz09Hm/2yOi+tq7Pneu7iCdjlGcrJDNXrg7k2s278MlMEitina+MFIQhs1WbSs3BD5qlVqMRnZZkjETUbBYigxVvGne1fnhqmkLNJRUzFu1SnUtYHBurcHio2Ky8lFxaLklvLs5nHujnE3eu5+REhamKwxsjJc5MV5mtefihRNcE+YTFvZtbeXRHx4pujbrYrp4Mu3syVBoep6dqbMjF522Bqjk+g4U6HekI+9e3qApSiqIoa5QKMJQ1RQjRXK3YtGm1h0LoutRffrm5palWQ1gRIps2krz33kVLzr7Txfs3YeZz2CMjBA0bPXb5SaaUEn+2SKxvPaldt1zXdft39fOTp15idmqWRq1BLLFw7xApJaVCiWQ6ydY9WylMOgyOFxmdLlOue3hBgDeXNCwAvaFRrDgkogaZuEU0YtKaXRulgN8yVrKpuQHp6OIVogxdI2bp2F7ARMlecoDxlnTU5LYNzYpt79/VhReEnJup03B9oqZOby5O1Lyx+Q1CCD778BZsL+C14RIDMzVMXSMZaY6jYvsEoaQzE2Xf+hZ+40D/u+KGg6IoyruRCjAUZQGVZ5+l9LWv402ME8wWkb6P0DS0VIrSN79J4j33kPvkJ9ZMzsRy0yIRWu66A3t4BHd8gmjf+stO5rzpGbSIRWx9L/Etm6/ruqZlsvvu3VRLVabHpmhpyxFLxi65dhAEFKeKyCAkmcvQvrmPXekSrxwbYWKmik9zAm4ZOpommgFQIGm4Hq7vU6o02Njdwm23rK1Sx2EoQUqWOmcWohloBfL6+1OYusbm9tVfDUhHTT7/gR187fAIPzg5zUTFxp6rFNWZidKViXHfljY+vKf7hgdAS9FwA05NVqi7AVFTp789SXIJ2/YURVHebdRvPkV5m9I3vknxy1/CPTcImoaeyzUDiSAgKBaxJyYIZov4U1O0/9Zn37VBRv6RhygdPET16DHsc4NYnR3oF3Vbl76POz2NX64Q37SRjo98aFnuKO+5dy/l2TJvvnSEwtQspZkisWQcTdPwXI96tY40DFzDohDGOfHVn9BwPaaLNTw/wDR1ouZFjRiFQNfANAT1hksIVJ2A3Vu6r3usC3H9kEODs4wU6wSBJBO3uL2vhVziyqsMLQmLiKlTdwKyl6/QCzS7bNtuSMTUycXfXd9/ccvgU3du4KP71vHK4CyFWnObXlsywr71LYtuH1sNk2Wb7xwZ54enpylUXQIp0QRk4xZ3bczz/l2drGtZ5E1VFEV5F1EBhqJcpPHGEYpf+QrOmQGMzk6Mlktr/+uZDKFt4549S/3llyl+7Wu0fPzjqzTalWW2ZFn/G59h8N/9BfWzZ7HPDSJME82ykEFAUK9jptMkNm2i++c/QWr3rmW5rhCC+z/0ALmOPEd+/AazkwUadRsZhkih0TAi2GaUQjSNV/HQaiUq9bl8CyDwQ2zpYprG+TyLIAjx/QBdEwRSEEnEKFQadOaW7669H4R849VRnj42wXjJpub6SAmWoZFLWNzel+Njt/VeNqfh7k15nnxtlBMTFToz0SvmiJQaHlFTY1Nbkp6WhbeRXa/pqkO54WFogvZ09IavGERNnXv6W2/oNa/FiYkK/9c/nODsTI2ZqotlCExdww8kg4U6w4U6Px6Y4TcPbGbfCvYSURRFWUtUgKEoF6l8/x/wJibQ8/l5wcVbtGgUa/163HPnqD7/AzIf+hBabGUmeasttr6XTX/wOaa//zTFH/8Er1BA+j5oGrHedaT27Kb14QPE+5c3Z0YIwa47d3HL7bcwcnqY6bFpJqZLPPfqIOMREBGLtkycWMQkkJLjg9PYXoimaYBEIvGDAOk1tw9pmsCyDKyIibAiNHzJS8dG+fA9W5dlvK4f8oXvn+DFM9OMFhtootmsTtcEFdtnrNRgvGRzfKzM779/B725+Xez+1oTbO9MM16yGZqtsz4XX3BFyPECxoo263NxHt7evqx5CH4Q8uOBAk8fm+TERBkvaG7ZSsdM7ulv5ZEdHfRk353f69dirNTg3/zDCd4cLaMJ6G9LXBKIOX7ARNnh2FiZP3/6FP/88R0qMV1RlJuCCjAUZY43OUnj9TcIK2UiXduueKwWjyMiEfypKWovvUTqwQdv0ChvPDPXQtfHf5r2Jx6nfvI0Qb2OsEziGzZg5lb2jqymafRuWc+6zb38+d/+gDFpYSZ0OnLJ8xNr1/UJJeiGRtQ0sG0HXdeJRi30uVKnhmGQSsdJJKJUGx6zVZvJ2dqyjfOvXzzLC6enGZ1tsD6fIBHRL5n4e0HIUKHOkdEy/+Z7x/lfPrqbuDX/1+8vvmcDQ7N1jo9XOD1Voy0VIR1tbvfyg5BCzWW64tKZiXJ7X457Ny/fHf666/OFp05y8NwsUxWHuutj6RqhbHbaHirUeeb4JJ++b9OyXved7OuHRxmYrqFrsGGBgDBi6PS2xBgpNhicqfHlV4b5g/dtX6XRKoqi3DgqwFCUOd7ICGG9jhZPIIzFfzT0dJqwWsUbHr4Bo1t9ejRKavfOVbn2ubFZhsaL2I5P/7rMZe/aN1cqTHw/RDd01q1rm3esEEAzn3pZTFcdnjsxxXChTn97asHu0qau0dea4PRklYHpGj84OcV7d3bNO259PsHvv3cbX/j+SYZm60yWHQZn6miiOd5MzGRjW4I7+nL8xkObL9sr42r5QcgXnjrJC6emmaw4dKSj9OXiaJqg4QZMVR0myw7Ds3Vmqg7//PFbuGvT2i61vNJKDY+fnC1QqDps7Uhd9ntSCEFXJsabY2VeHykxWmzQrVaBFEV5l1MBhqLMkUHQnMVpS5y0aRpSyuaWIWVFvX5yjFLVJpOMzpvIGbqGJgRhCBLQdQ3P83EcD9f1iUQuLftad3wsUydzlaVdL+fZ45PM1BzSMXPB4OItmmjmMkyVbZ4+Nsljt3QuOCnd3JHif/uZW3nh1DRPH5tkrNRASomhady6LstDO9rZ3XP5IOta/HigwMFzs0xWHDa3JbEMjZrjM1qyqdoeXiAJpSQIJcfGK/z+fz/MH7xvOx+6tXvN9RO5UY6MlJitu8Qji/ct0TVBJmZSrLscHppVAYaiKO96KsBQlDl6KoUwTcJGc0K32ARO2jaaZaKnMzdohDevcs3G8wLSC1RisgydRMzE9nw8P8QyNIQQyFASBAFwIcCQUlKs2mzoyHDb1vkrCNfixESFcsOjPbV4Q7p01GC4EDJabDBbdy9bWSoZMXjvzk4eu6WDuhvgBSFxa/GJ7LV66tgEUxWHznQUy9AoNzwGpmvUvQA/lJiaQBcCoTdLsU6UHf79s6cZLjb49Qf6b8ogo+r4eEFIZInvScTQ8AJJzQlWeGSKoiirb+3V+1OUVRLp78fs6kIIQVi78v58OVeyVm/JEb9t/w0a4c1L1zQQEF5mW1NLKoZl6LheQHDRQRcHiVJKxgpVYhGD9e0ZNnUtT7NEe+6ahr74JFsI0axkFUocL1zS8YmIQTZurVhwMVVxODlRoe76ZOMmthdwdqZG1fURQMrSiZk6lqERNXRilo4mYLBQ55ljk3z18MiKjGuts4zmyllwuW/KtwlCiS5Yk2V2FUVRlpv6Tacoc4RhkLzvPvS2NvzR0eaWqQVIKfHGx9FSSSJbt2KtX3+DR3rz6ciniEdNqg1nwefTcYtsMkrU0qnbHn4QIjSBaRpIKanUXQYnynheyIaODB8/sGPZthjFLQND03CDxSeaoZT4QYiuCeJX2E51I5XntkBZc1vNpqsODS9EQxCdWw26mKFpCAGpqMFgoc733hzH9m6+u/L9bUnSUYOy7S0aZEgpKTY80jFTVZFSFOWmoAIMRblI6pGHiW3fjpZK4Zw+TVAqIcPmnWYpJWG9jnfuHNK2sfo2vmt7YKw1+3f0kE3FqDdc3AUmswJBT2uKXDqGZQiEJrADyemxIseHCkyX6mSSEbb25vkfP7ifDR3Lt61tV0+GbNykUFs4+LlYqe4Rtww2tiZJx8xFj78RTE0g5laHglBSqLnnt/4sFIQ1p9KCiKETMTQmKw4/Oj19o4e96npzcXZ0pUlGDKarV37vZ+sepq6xIZ9gZ3f6Bo1QURRl9agcDEW5iBaP0/Y7v83UF76Affw4/vQMcmQEMddcDsDI5zC7umn99V8jsmnjKo/4nct2XE6eGqNWt9GEoK0tw4be9gX382eSMW7d0s1sucHwZJHejiymcekKgCYEyahJ1TSIZSJkc2mMuY7ebdkE79nZw+3buklEl3dif/+WNr76yjBjcwnRycucPwglk2WbrmyUh66yf0Wx7jJUqOMGIemoyaa2JPoy5T20p6OkoiZBKCk13GbvC7js+f0gxNAFMUsnogvKDY8TE1Ue2t6xLON5J/nA7i7eHCtzcqKKrgnyCWvetrxiw2O01KC/LckHdnUta3K+oijKWqUCDEV5GyOXo+Pzn6f2wgtUn3sOd3AI6XkIXUPP5Unecw/JAw9i5G/uMp3Xqlpt8IMfvcmRo4OUSjU8P0AgiMZMOtqy3LZvM/v3bp4XaDxxYCcThQrHBiY5O1oglYiSikfQNIHrBRQrDYIgZGNPjg/ev4N7923Cdn1MXcMy9RWb2KVjJu/b1UXZ9jg3U6MrGycbN9Euul7d9RkuNEhFDbZ1prm7f2nfOycmKnz3yDgHzxWoOs3O4Kah0ZON8cDWNh7d0bFgP42rETV17t3cylChzkzVBeZK+S4glBIvkCRNnXzCmss/8XH9xfNJ3o329rbwqTvX8zc/HmSwUGeq4tCSsLB0DS8Ima17QHM71Yf39HD/FtU/RFGUm4MKMBRlAVokQuqhh0geOIA/OUVYqyEsC7OjHWGuja0t70SFQoUvful5BoenKJZqRCyDiGUiJUxM1JieLjM+UWRkdIYnHr9zrjN3Uyxi8umP3sWX/uE13jw9QbHSYLpYQyIxdI1cJkYuk+B992zjrt0bAEjGrBvyun56/zqKdZfvH52Y69rdIBU1EaJZdckPQtpTUXZ0p/ndx7YRMRbPv/jukXH+6sWzjJdtSg2PmKmjCYHtBQwV6pyerPLimRl+77FttF5nyd2Ht7fzzPFJ3qjaeEFIKJlXSS2UkrobEDE1sjGTyFy1KUMXxCNrI59kNTy+u5ts3OKrh0YYKtQp1l2qvo+uCda1xOhpifPB3V3L3nVdURRlLVMBhqJcgRACs6N9tYfxruC6Hv/9Kz/g9MA4rufT05XHuujue16mqNUdJiZnOfSqJJmM8ciBPZecIx61+MUP3c5kocrLRwYZmSzh+gGJWISdmzrYs60by7zxv9Y0TfDp+zexpSPFPxydYGCqStVp9kfJRE060lHu3dLKB2/tJrWELVovnJ7mv/3oLKenqrTETbZ1pDDnmupJKak6PqNFG/vcLH/2vRP84QdvuWIPjsWsa4nz6fs28e+fOcnBwSJ+ENLwBZauIWlui/ICScTUSEdNenNxpJTM1FzWtcTYs255KnK9U93T38rdG/O8PlLiyGjpfCC2ozPN3t7ssjVEVBRFeadQAcYNEtbruCMjWD09qz0URVkVrx85x8joDI7j0dOdu2R1AprBXDIRxdA1xsZnOXjoFHfdsY1kYn5/ifZcksfvv+VGDX1JhBA8uK2dB7a2cXqyykixgR9KsjGTXesyS1q1gOZk/u9eHuLsTI32VGTe6oQQglTUZHO7wcnJKsfGyzx3cor37ey8rvHfu7mVqKnxv3/rGEdHS7h+SBiGCKFh6IKkqZONNYMLQxPM1ByEgJ6WOHt7b+4AA5pB5p7eLHvU10JRFEVVkbpR/IkJxv7of2b8T/41tZdeQsql1U5XlHcDKSWHXztDqVynJZuYF1xcLBq1iEYtSuU6r70xcANHuTyEEGzuSPHgtnYe2dHBbX25JQcXAIeGiowUG0gJ+cTlt3jpmqArE2Wq4vDM8cll+Z1y24Ycf/GLt3HnxhzpmIll6OQSFuta4tzSlWZjawIBTJRtxksOG/IJPrqvR92hVxRFUS6hVjBuEBkEOCdP4o2MYB99k9TDj5D7hZ9HXGGi9RZvchL76FFko4GwIs3eC+vUSojyzlGt2UxOFnFdn8QCKxJvl07FKJXrnDs3yT137bgBI1w7Dg3OUqi58yoSLSQdNRiebTBUqDM826A3F7/u67ckIvyvH72VP/3OMU5OVpmuOtTmeouEUlKxfdJRky0dST5xx3ru39J23ddUFEVR3l1UgHGDCMsism0bQbGIe2aASvA9tESclp/5mct+jnNmgNKTT9J47TWCUgmCADQNPZ0mun0b6Q88TmzXzhv4KhTl2jhOsxmZri/cW+HtdEMnCEIc178Bo1tbqo6PH0oiS+j4LIQgYjQrFtWW8WvVk43xR0/s5FtvjPHDk9NMVhy8IEQIQU9LnFt7MrxvZye7b/LcC0VRFGVhKsC4gYSuY+TziEgE99w5Kt/9HqmHH8ZoaZl3bP2VQ0z/xX/EHRoiLFfQkkmEaSJ9H39iAm90FPvYcXK/8POkHnpoFV6NoiydZRlomiAIwnnViRYSBAGaLohcZwnWd6JmR20IlrjlKQglmmgmZC+nbNziU3du4KP71nF0rEzVaZb87cvH6czElvVaiqIoyrvLzffXew3Qk0mCZBK/MEPtBz8g88QTlzzvnD3L9F/8R5wTJ9HicSJbtyKMC2+VDAL86Wmc06cp/NVfo+dyxPfseftlFGXNSCVjtLdlmJgsUqs7CyZuX6xSaZBMRNmw/uar4LWpLUEqalKse7TEr1xmt+EFzUTyuEl3dmUm/VFTZ9/6+TdBFEVRFOVyVGbeKtFzOYLZIvXDr857rvytb+ENjyDicYzu7kuCC2iuhJgdHRi5HO7ICOVvPqmSxpU1TQjB3ls3kUnHmZ2tEoaX/361bZdGwyWTTnDrrr4bN8g14r4tbbQmI9Qcn4YbXPY4KSWTZYd80uKeza1EzZu3F4WiKIqytqgAY5UIy0L6PmG9fsnjfqFA49BhglIJs/3KjZn01lZko4Fz+hTuwDuv2o5yc9m1cwPdXXkilsHYeAHPuzRnQEpJrWYzPjFLe3uGfXs2kUzefFtx0lGTB7a20dMSZ2CmRn2B3IpQSsZKNrYf0J2J8eiOjlUYqaIoiqIsTG2RWi1BgNA0NOvSLRD28eME5TJaPL5ox2ihaeiZDEGpjH30KJFNm1ZyxIpyXaIRi4999F6++KXnGRqeZnh0hohlEomYSCmp15t9FTras+ze2cfDD9682/4+ecd6xks2Px6YYWC6TtTUyMRMNCFw/IBCzSVmGWztSPHrB/rpUjkRiqIoyhqiAoxVEhSLaKkU1qaNlzwuGzYy8BcNLt7yVuJ3aNsrMUxFWVat+TS/+KmHeP6HRzh6fIhSuY7nBWiaoL0tQ1trhv17+7njtq1o2uLVpt6tLEPjdx/dyt8dHOLZE1NMVRyqjkcowdQ1+ttT9Lcl+NSdG9jRlV7yeYcKdX54apqZmgMIOtIR7tvcqpK2FUVRlGWlAoxVID2PYHaWyObNJB988JLnRCyK0A1Cv7bkcwnDQIsu3ltAUdaCdCrOB99/Bw89eCsnT41Sq9loukZbPs3Gvo4rNuG7mViGxs/dtYGf2tfDj07PcG6mhhdIUlGDO/pybG5PLqnkL8BYqcFfvnCWN0dLFGouttfM7YiZOl9/dZS967L80j195N/WNVxRFEVRroUKMG6w0HFwz53DaGsltns3kb6+S56Pbt2Knk7hjYwgfX9egvfFABIwtQAAIABJREFUZBgSlEpENm0ium3bCo9cUZZXPBZhz+6Nix94k4tbBo9cR47F4EyNf/2dY5yYqFKqu7QkLLKx5gppxfY5NlZmquIwPFvn8x/YQXta3axQFEVRro8KMG4Q6fu4Z88S1usY7e3Edu8i/5lfnXeckc8T27MHd3QMf3ISs7v7sucMZmYQ0SjWpk1Y/f0rOXxlFfnVKqUf/ZjK4Vfxq1U0wyDS00P2vnuxerponBskbDho0QjxjRsw4tffzVl5d3D9kH/71EmOjpWREnZ0pdEv2nqWjVt0BSFnZ+ocGS3zhadO8scf3nVTb09TFEVRrp8KMG4UKdEyaaxNG0nceSctH/84WiKx4KHpDzxO4/U3cE6cwBsdxejoQOgXSlDKMCSYnsYvFIj0byLzwQ8ueauE8s4hpaTw/aeZ+saTeDMzeLNFpOeBEIhIhNGvfZMwlBi5XPMxXcfMZmi5fT+tDz9ItOOd10NCSsnx0SLHR4rYrk/UMtjWk2Vbd1Z9j1+DlwaaW6scL2RLRxJtga+hoWtsbE1wfKLCyckqr4+U2NOrOnQriqIo127NBBhCiHuAPwTuBqLAKeA/A1+QUl6+GPyl5+gBfhp4HNgBdAFV4BXg30kpv7zA5xwAnr7Caf9ESvn5pb+ShRktLbT+6q+SuPtu9FTqisdGNm0k/+lfYeY//T+4w8M4x4+hpdIXStuWSs0GfP39tHzqk8T377ve4Slr0PTff5vJr3wd+9wgWjSClW9Fi0ZwqzWqQyMEto0EtNkiVj6PlJLG8Aj2yBizBw/R96v/A6ntW1f7ZSzZwdOT/P3BQQanK5RqLoGU6EKQiVv0tib5wG0buGPzOy9oWk1PH59kuurSloosGFy8RdcErUmLmarDM8cnVYChKIqiXJc1EWAIIT4CfAmwgS8CBeAJ4M+Ae4GPL/FUvwX8U2CAZtAwDmygGXQ8KoT4Mynl713mc58Fnlng8R8s8dpXpOdypB97bMnHJ+64Az2bpfzNJ2kcOUJQKoHvIyIRzM2biWzZQvrxD6gO3u9S9VOnmfr6N7HPniPS1YmRyQDg2zb1yWlCP0CYFiIM0AAhQ+IbNxI6Ds7kFNUTJzn7F/+FzZ/7LLF1Pav7Ypbge4eH+LsfnWZ4pornh2QTEaKGjheEnJuqMDpbY6RQo1Cxed++9as93HcEKSVnZ2pUbI++3OLb5rIxi5OVKgPTSyswoSiKoiiXs+oBhhAiDfwFEAAHpJQvzz3+PwFPAR8TQnxSSvm3SzjdS3PnePZt19gBvAh8Tgjx11LKgwt87jNSyn95HS9l2UW3bCH6ud/FGxvDfvNNwnoDEY0Q2bJlXnK48u4y++zzuFPTGC3Z88EFQGNqhsC2QRPokQgCiV+r41erhI6NFokSXdeDPTpGY3CYiW99l77P/PIqvpLFvXZ2mr/70WnOTJRpS8fIJSOXbIdqz8QoVB3OTJT58otn6MjG2buxdRVH/M7gh5IwbP57KbvLdE0QSokXhCs7MEVRFOVdb9UDDOBjQBvw394KLgCklLYQ4g+B7wO/ASwaYCy0BWru8aNCiC8CnwEOAAsFGGuW2dWF2dW12sNQbhC/UqV86DB+qUR88+bzjweuh1upEno+RiI+NwkXaIaB9Dy8QpFIVydCCCId7dROnqL02hHcwixWrmX1XtAivnN4iLHZOq2pKPnU/ApGQgjyqShSSsZma3z38CB7+vLvmJyMQs3l2ROTHDw3S8X2MHWNvnyCA9va2dmdXrHXYeoaMUtH1zTcICRi6Fc83vYCTF0jFV0LfxYURVGUd7K18Jfk4bmP317gueeAOnCPECIipXSu4zre3Ef/Ms9vFkJ8FkjT3Fr1vJTy5HVcT1GuiTc9TdhooFkW2kUNF71aba50sX7JpFQYBqHnEjoXfjw0w8BIJvFLJcpHjtJ6/z039DUs1bmpCqfGStQdn97W5BWPzaWiTFdsTo+XOTdVoa996Q3mVoOUkq8cGuEbr44wU3Mp1Fy8QKIJeG24yAunp9nSnuKzD2+hLbUy/Sdu29DCwFSVmapLd/bKzfRmai65hMX+DbkVGYuiKIpy81gLAcZbDRxOvP0JKaUvhBgAdgKbgKPXcoG5bVg/A0jgu5c57Ofn/rv4874EfEZKObvE61xuZWT7EoeqKEgpm/94251tGQRIKRFigUZ08vz/ztMsi9D3Cer1lRnoMjgzXqbScEnHrSsmIQNoQpCOWVQaLqfHy2s6wJBS8v+9NMjXXx3h7HSdZESnJxMjYmqEUlKsewxM15ipuVT+3uMPP7STXMJa9nE8tK2dp49NcnKyQjZuErcW/pVfsX3Ktk9PS4wD29qWfRyKoijKzWUttMx9a4N56TLPv/X4NZU1Ec1bvf8J6KBZSertQcoU8HlgN5CiuV3rA8AhmkHJN8SCMzpFWRlmJoOwLELHQQYXCqgJTUMgQF4aSMggaD530WrHxY9rb3t8LXH9gFBySW+GK2nmCTT7O6xlr4+UePL1MQama/TmYmzIJ0hGDUxdI2LodKSjbOtIYbsBR8cr/OUPB1ZkHJvakhzY1k5vS7wZ0FQdgvDC908QSqYqDucKdfrycd6/s4v2BbapKYqiKMrVWJYVDCHEWZrVmpbqr6WUv7DU0899lFc86vL+lGYVqueBeRWkpJRHgCMXPVQFvi2EeAE4TLOK1RPA1xa7kJTytoUen1vZ2H/VI1duSmY+R2LbVpyRMfxSCTPX3LJixKIIQydouGjSmtsmJZGehxaPYWYvxOAyDPEqFRKtG4j3Xc2P5o0VjxgYmsB2l1SJGtcPSUQNYtaV8wlW2/ePTjBZtmlLRkhHFw7wdE3Ql49zdLzC4eEi46UGnZkrb2O6Fr90Tx+OH/L8ySkmyzZjZZuYqSOBhhuQjpr0tyV47y2d/Oztvct+fUVRFOXms1xbpE7TLDG7VKMX/futFYrMQgfSzIm4+LglE0L8H8DnaOZyfPBqcjiklGUhxN8A/wJ4gCUEGIqyXFruv4/q62/QODeIFo+jR6Po0ShGPEbgOISej24ZhLYDuo4ei6MnLpQi9WaL6JEI8Y19xDcuX4AhpWR4bJYjJ0eo1R00TaM9n2LPLetJxq8+j+CW3hyZhMV4sY4fhBj6hcXC5lYil4rtEc7ddS/VHDpbWtjZu3bzBAo1l8NDRUoNjx2dV+55Y+ga2ZhJoerw3MnpFZngm7rGbx7oZ//6LE8fn+TYWBnbC0FA1NTZ3ZPh4e0d7F+vmhkqiqIoy2NZAgwp5SPX8enHgduBrbytupMQwgA20kzMPnM1JxVC/BnwuzT7YXxISnktG9Gn5j4u3HJbuanJMMQ+ehRncAjpeeipFPG9ezBarr9iU2r/XjJ33UnoeTTOnsXK5TBaWojlc/i1Bn69Tug6CCEwkgkiPd2AQEqJVyzhTE+T2LiB9kceWrZJ49BogW898xpDYwXK1QaeFyCEIBY1efpHR9m9vZf3P7ibyGX2+S8kn4qye0MrY7N1Jkp1ulsSCAFTFZvJko3jh3hBSCglMgzRhGCkZPPCqSk+vL93TU6IJys2thcQM/VLAqbLSUUNig2PyfLV3KO5OkII3tPfynv6///27jtMsqs+8P73dyunzmFyjhoFUJ4ZhdFIgCQQYCFhDBghTLBNMAuscbbZ1+96eV4TXoQXsBcQCwYJI4MtliQ0GklIQiigrJnRhJ4OM52qu6orp3v2j1sj9fR0qOqp7q7W/D7PU0/N3Lr3nHNPn6q6v7ontNEfzxBN5RGE9ohvzgaYK6WUOnPVwyDvPTiDq68FvjfhtSuAIPBApXcfymMuvgz8MXAP8BZjTGaWZbu0/FxVcKNe3YwxJPbez9i9e8j39FJKJsHYiMeLu7mJ4GtfQ/Nb3oxnyZJZ5yEiLLv1PYjbReyRRylER0gfPIggWMUcIuU+g2LhamiglMtTTKUpxGKIZRFas5olb7yOpgteU5NzPtg1wB13P0rfQIxsNk9DOEA46MM2kEpnGR5NEhtLMxQd4/d/Zwc+X+XjPq47fxUv9ozw0vE4fSNJjBGGUzky+RIi4LEEYxvnfC2LaLbI93/TRTSZ49YrNtRdkGGq7MwpIhhT/XGztaQxMCddsZRSSqkT6iHA+AHwWeAdInLbuIX2/MDfl/f5yvgDRCQIrALSxpjucdsF+Gfg/cBPgRuNMdP+LCgiO4FHjDH2hO3vBn4XyAPfn/3pqVcTYwzRb32bsfvuI3/sOBSLuBobwLIoJRIU+o9TON5Pdt9+Oj76Yfzr1s06L8vjYdmtt9B02U5iDz5E4ulnsAsFgiKUEIqFEnapRDGVopROIS4XgeXL8C9bSue119Cy/ZKanHM8kebffvIYR/ui+L0e1qxsP2nGp8ZIgHyhyLGBGC8ePM7d9z7FTddfNG2a+aLNS8fjJDJ5PG6Lm3as565HDnPgeIyBWIaSMXhcFgIUiga32yLkcbOsowGxLLqHU+x5oZ/VbWGu3lZfa8S0hrz43BbZQomSbWYcwJ7KFfF7XLSEaz+LlFJKKbUQFjzAKI91+ABOoLFXRO4ARoA340xh+wPgzgmHXYzT9el+nIXzTvgbnOAigzNA+88m+XXzKWPMj8b9/18BqzyouxfwAxeV8ygCHzLGdJ3eWapXi9iP/w9je/aQO9qNZ9lSXI2NJ/2CbgoF8seOk9m3j8F/+grL/uovcTfPagI0wPl1O7RpI6FNGzHFIqV0BnG7sQJ+sG3GXthH6sBBSpkMlt9PeNMGGrZtRVy1GwT9+DNdDI0kcLss2lsjk94x8HrcLO9s4uixEZ470MfuHWfR0nRqz8JEpsA9z/TyyEuDDMYzFEq2c44+Nytbg/hH01iuPG4BtyUg4HG5iIR8tDQG8Ze7Xy1rDnJsNM29zx/nqq1LsCqchWo+dDT42bq0gd7RDLF0ntbw1F2QbNswks6zqTPCzvW6OrlSSqlXhwUPMACMMT8SkStxBlS/Deci/yDOrE9fMqbizgNry88B4M+n2OdbwPgA4yvANTizRbXhzFrVB9wOfNEY83TlZ6JezexMhrFf3kuuuwfvypW4IqcuDCceD95VK8l3dZHv7ibxwAM0v+XNNclf3G7cDeMGDbtcNJ6zjcZzttUk/cmUSja/fb6b+FiGzrbpV532eNyEgz7iiQxPPtfFNZedXK7BeIbbfvY8B47HGU5kcVmCz+PCtg19IymODiUZyxbA42ZtRwRjDC7LIuD3nDKWoTHgoT+eoWckxXN9Mc5dWfm4F9s2pAslLIGAxzUnXayu2tLJ071xuoaTBL2Tz3plG0P3aJoGv4fNnQ2saZt8qFe2UOJoNEW2YBP0uljdGsLr1pmzlVJK1a+6CDAAjDEPAddXuO9eXpm+dvz29wLvrTLfz+J00VJqWsnfPEZxaAjL5500uDhBRHB3dFDo6yPxq4douv66U9aoWCxiY2niiTTGGPwVjKuIhPyMjqXoG4idtD2VK/Llnz3PM90jZPMlVraGCfpe+fgp2TZHh5Kkc0XcLgvbQHNk6nECIkJjwEMyW6AnmqoowOiOprhv/yCPHo6SzpVAoDno5fJN7Vy5qX3aOw3VunhNC5dvbKNQsjk0nKI15KE15MPrdhbai2cKDCVyeFwWGzrD3LJjzSlpDIxl+cUL/Tx8cJjRVJ5SOeDqiPi4bGM7r9vaSfMcLM6nlFJKna66CTCUqnfZ/fspxcdwNc18MWsFg2CgODxM/vhxvCtXUozFsDNZLJ8Pd0tz3Q1OnkyhWMIYsCypqLyWJdi2oVg8eV2LX+3r52D/GJl8kXUdDad0aXJZFpGAl6GxLMWizWA8TWPYN+3q3pY4i+4VStMvumeM4a4nevnPp/qIpvJEk3kMBmPA67I4PJTkJ88c5w8uX8v2GnVTsizhA5evx21ZPPjSEMPJHPsHEs5gbgxhn5uOBj8rm4P8yTUbWdkSPOn4Z3tj/NN9B+kZTRNN5vG4BLcl5EuG7pEUXcMpHjo4xMev2cTatqmDXaWUUmohaIChVIXsTNZZHdsz89tGRBC3G1MoEH/oEVKHv0uupxdTKoLlwrekk8adO2jauR1XqH5nQQ76vbhdFsWijW2bGcc6FAol3G4XAf8rv6zbtuHBF/sZTmbpbAxOmYbbJbhdFoVSkVyhRCKdpzE09V2FbKFExO8hMsVCdifc9UQvdz3RS9dwisagh/UdIfweF8YY0vkSQ4kc0eQYX917ELdlcdHa2qyx4XVbfPCKdVy9tYP79g3yxNFRssUSlggrm4Ps2tLB9nWt+D0nd586MpzkS3teYn9/Ao9LWN8eenmfE2XuH8vybG+cz//iAH9zwzadalYppVRd0QBDqQpZwQDicmEKhRn3NcZg53Jke/vI/PA/KKbS2NmsE3SUiuS6e0gfOsTofXtZ8ccfwr+yPldQbogEWLmshf7hOMlUloZpui0BxBMZmptCbN3wysxOx0bTHI+lKZYMYf/UHzkNfg9ej4tMvkS+WCKRmTrAKJRskrkiK1tDvHbN1AFBdzTFfz7VR9dwihUtARoCrwQjJwaXh3xuBsayHB5K8a2Hj3DuikZ8ntoMkhcRNnRE2NAR4f3GkCvauC2Zdn2ME8GQ322xojlw0p2jbMEmW7Rp8LsZSuQ4OJjgx88c49ada6dMTymllJpvOlJQqQoFtm7F1dRIcXR0xn1LY2OUkklK2SyFWBxPSzPBLZsJbtxAcPNmPB3tFEdipJ5/kZ7b/if5waEZ01woF567huaGINFY8pSuT+ONJTMUbZvWphDbNi1/eXs6X6RYsvG6rWm7WblcFs1BLx63UCjaFKfo+mSM4dhomqagl9eubqFlmrsce/YNEk3laQx6TgouJuqI+BBxxj38+nB0yv1Oh4jgn2Hxvf54hmf64sQzBZY1vRJcxDMFXhpMsq9/jMNDSbqiaZL5EoeHU9z5WDfd0dSclFkppZSaDQ0wlKpQ6KILcXd0QKFIaWxsyv2MbcgdPYoBjMdLYP063OOmsxUR3JEI/rVrwNhkDh9h6Ef/OS/nMBvbNi5nw5pOGhuC9PSPkExnGT+xW7FkEx1NMjyaZHlnE7t3bMU7rhuZ121hWULJnnkyuM7GAL7yzE7xTIFktvByXsYYUrkiR4aS2MawviPC71y4asq0Srbh0cNRosk8bTOsMSEitIV9RJN5Hjk0NwFGJZ7sHiWWztMY8Ly8fkZ/PMuhoSTDiRzJfIliyVCyDcWSE4Qdjab58x8+q0GGUkqpuqFdpFTdstNpUr9+lORDD1EcHAQMruYWQpdeQnjnTlyNjfNaHsvno+naN1AaGSHXdRTPkiKupmZk3JgCO5cn39eHyeWxDbjXrZtyTQoRwbtsGZmDB0k89TSF0VE8zZVPtzpf3G4X77jhEu64+1EOHOlnNJ5iKJrA63FjjCFXKBIO+li5tIXXX76NC889ubvOsuYgzSEfR4eSZPJFAt6pP3Y8bouQ140A4aCXvlgaYzvbT9zRaAn7WN0W5sPXbGZpU3DKtFK5Ipl8CTBTdnmybcNoukA8UyBXKDGWLfD40RGOxzMsXYDVrpPZIoWSwV+ehjaazHEsniGdL+F1WQRcE+8CFSnZNocGk3zhlwf42xu20RTUmaWUUkotLA0wVF3KPPMMw1//OsWBQYojI9jpNACW30d23z7id/+Ylnf+HuHLL5/XcjW8/nUUR0aI//wXFI73UxgYwNXgrORtsjnsTAYJBjB+PyYQxB2JTJue5fHgCocpxmIkfvsULbuvmqczqU4o6OM9N+7gieeO8vizXQwMxSkUSwjg93vZvG4Jl7xmHWtXtp9yrNft4tKNHfQMJxkay7KyNTRlV6l0zulOdd6qFnafu4LfHB5mIJ6laBtcFrRH/Ozc1MGurUum7RoFvDyY3Bjn7sfEPIcTOY7Hs+SKNoWSjW3bFG04PJjk03c9w0WrW3jfZWsJ+Wb/MWmM4fBwiseOjBDL5HFbFsubAuzc2EbDJIPTvW4LS6BkDLYx9I/lyORL+NwW3km6VokIPrdgG8OhoSR79g1y4/krZl1epZRSqhY0wFB1J/Psswx9+Z/IHT4MloW7tRVr9WoQwU6lKEWjZIeGiH7zmxjbJnLllfNWNhGh5R2/i2/NGuL3/JLckS7sZNJZFK45iGv9eqyWZuL7DmCVph6vMJ7l92MKBUpjiTku/enxeNxc+tr1XPKadRwfjJFK53C5XLQ1h2cc/H3VtqU8tH+AfX0xjo2mWdp06mxSyWyB3miKFa0hdp+9nJsuXsNbL1jFsViGbKGE322xtDmIZ5oxDOOFvC6aQl7cLiGdL50UKAzEsxyLOXcGRJzpaktYiBjEEvYdHyOWyjOczPHp67YQnOauy1QODSX5zq+P8tJAgpFUnnzRRgRCPjd3PdnL9vWtvOuS1SfNIrWmLUTE76Y7msbvdpEtOG3IM8nMWwYolgx+v4tlTX4GEznuPzDIDectq7iOlFJKqbmgAYaqK3YuR/Sb3yR35AhWKIR7yZKTfnl2RSK4IhGK0Si5I12Mfvd7BM4+G3dr67yVUUQIb7+U0KWXkDt0mHxPD6ZQwBWJEDjnbBJPP8PY4S7sVLqyBE+MZ5iiK1W9ERGWdVbXlau9IcAHr97CV+55gaNDSfYfi9EY9DoreRtDPF2gZNssbwmxfVMHb71oNQBul8Wq1tlN4ysiXL6xncPl8QsnAoxktsixeIZU3glaPG7L6epVtAl4XaxtCxHwuDg8nOSpnlH+9ddH+cAV66vK+/ljcb54zwEODydJ5kq0BD00BNzYBsYyBY7HMgwnc/SMpPnTa18JYM5d3sTK5hC9oxkGE1kKJRvPKd2iHPmSMyNV2OehJehlKJFjcCzH0WiaDR26NoZSSqmFoz9zqbqSfuxxCv0DYMwpwcV47tZWrECAYjRK8le/mudSOkQE/4b1NFy1i8bXv47w9ktxhcP4li3FFQpSSiZOGgw9GWMMxbEErlAI39Kl0+672G1b2cwn33QuV561lA1LGvG4LHIFZ9ByZ6Of165p5e3b1/Kha7ZOO9NSNa7c3E5HxE+2YDM45gxOH07kyBdtvK5XgotswcZlCQGPiwa/G6/bYm1biP7yrFKxdL7iPEdTeb685yX2DyRwWcJZSyMsawrQHPTSGvKyti3Eho4wg2NZfts9yjcf6nr5WMsSXr+tkxXNQUYzBUq2YeLNC4MTXOSLNj6PVZ4BS/C4LIq2TSZfrEndKaWUUrOldzBUXUk9/DDFkRFcra0zrhztbm2l0NdH6uGHaXrLW+aphDPzr1lDYO1acn3HKcZi0w7ctlNpMDbeJZ2EzztnHku5MNZ2RPjUDefSG03x265hEpmCc5eiLcz5a9vwumcOLCpZ8O+EtrCPWy9by9f2HuTIcIpYusBYpkC+aBPyusgXnQt1lyWEfC5WtwVfbnc+t4uwz81wKs+vDg7zpnOXVZTn3gOD9MUyuARWNAUmbcd+j4t17WEODCT4zZEoN1+wgo4GPwDXbO2kZ8RZO6QvlqVUKBEABLCBQtEGgaDXxbKmAI3l6XedcSpSszU8lFJKqdnSAEPVlWJ0GJPJ4Fq+fMZ9JRjEzucpjcYw+TzirY/Zc0SE5l1XkDl4iMzRo4jHgzt8apeVUiZDtrcX3/JlNF2+E8sz/YrUryYrWkOsqLDrk20bnu2Ls3ffAPv6x5y7D24XZy9v5KotHWxd2jBtMLpzQxtuS/jfD3dxZDjFUCKHbQyZE3ctvC4CHie4mDjWosHvIZEr0jeaqaisxZLNAweGiCbzpyySN5HPbdEY8BBN5di7f5C3X+RMuSsi3LpzLcPJPN/7zVFS+RIl22Bwggy/x4Xf46Kz0U9byGnzmfL0tS1BH6tapp5ZSymllJoPGmCo+jJDl6LFouHSS8gcPoK5dw/Z7h4K/gCe5mbE68EUixRjMUrJJL7ly2m8+CJa3/D6hS5yXYqn89x270s8fzxONJEjnilgG4MlwuGhJA8fHOY1q5r4o6s2Ep5mtqdL1rVy3som7vhNN1+9/yCpbJFIwIPPbdEa8tEQcE8aDFhS7sZWwRoeACOpPEOJHCXbEPLOfCehOehhIJHj8PDJa1iICB+7eiOHh5P85sgIIa+rPMOU0BDw0OD3vNx1yhjDQCJLa9jLjg1tJw0aV0oppRaCBhiqrrjb2hG/n1IyiXuGNSFMOo14PLiaGuvm7sUJIkLnO9+Bq6GBkV/eSyE6QjE2iimWnJmxGiP4V6yg8bIddNx0I+LWt+JEqVyRf/z5Pn7bPUo0lact7GNLUwCXJRRtw0gqz+GhJIlcgWyhxJ9eu3Xa7kF+j4vdWzq458UBDg0m2bwkgjVDN7xMoYTX7Xq5G9JM8iUbY8BlyYxd/AAsEWzbkC+eumq53+PiurOXMprK0xVN0dngp8F/ciBUsg3HYhkKJcPGjiCvO6uzonIqpZRSc0mvalRdCW2/lPRTT1EcHMTV1DTtRVoxGsXd2kpo+455LGHlRIT2G95Iy+5dxB95lNQLLzrrZPh9BDesp3HH9rpcWK9e/PDJXp7tixPLFNjUGTlp4LfHJXQ2+GkOejk0mOCp7hj/59lj3Hj+ymnTXNkSZHVrkJ6RNGOZIk3BqQMH2xhGUgXWd4S5dF1LRWUO+9y4XVJeV2PmsSK5ojNLVNg/+Ufxm89bxlAixy9f7Kd3NMPxuKEp4MWyhFyhRCxToDHgYfOSCB++agOd5XEcSiml1ELSAEPVleDFF+P59x9SHBykODCAu7Nz0iCjGI1iZ9J4V64kfMX8LrZXLVcoRMs1u2m5ZvdCF2XRyOSLPHRwiIF4lrUd4SlnlfK6LVa2hugdSfPA/iFuOG/5tGtAiAi7N3fy0kCC3tEMwXLXo4mMMfTFMoR8LjZ2hFnfXtm0r01BL5s6I3SPpBnNFGgNTX9nbSSVpy3i4/xVkweaIsIfXLaWFc0B7nlhgL7RNGPlxQj9HhdbmgKcs7yRmy5Ywdo2nZpWKaVUfdCmgr3jAAAgAElEQVQAQ9UVy+ej9db3Mnjbl8kfOUI+nXampA2HnYX20mlK0Sh2Notv7Vqaf+8d87oGhpofTxwdZSiRw+exCMwwpiDkdWEJHI9neLY3xvmrp7/bcMWmdh49EiVbsDk4lKQz4qMp6MVlCcYYUvkSg+VxFJs7I7z70tUVdXc64arNHTzdE6NnNE2D3z1lwDOazlMo2XRG/Fy6buo2LCJce/ZSXnfWEp7qiXE0miJftAn73Zy/qpllTdMvcqiUUkrNNw0wVN0JnHsu7R/5MNGvf53i4BDF4WHsnh7ACUBcrS1416yh+R2/O6+reM+30WMDdD35PMloDIwh0Bhh1Wu20r5mRVUXvIvRcDJHtnDy6ttTERFCPjeZfInfHBnh0SMjxDIFXCIsawpw5aZ2Vo6bWcnrtviTazZh3XuAp3piDCVyHItn8biEku2Mn2gNe1nWGOAjuzeyoSNSVdkvXtvCeSubyBRKHBxMsqwpcNLYiWLJZjiVJ5rMs749zI3nr6hoYLbLEi5Y3cwFq7VbnVJKqfqmAYaqS8HzzsP/D/9A6tFHSf7qIYpDg2AMruYWQpdeQnjnTlxNTQtdzDmRHInx+L//gsEjPaRjYxSzOQzg9no59OjTtKxYwgVvvYaWFa/uhfmqkS2UGBzL8sPf9mIbyBdtRCDkc/OL549zzoom3n/ZOprLXZbCPjf/9Q1beKxrhL37B9nXn6BYMliWs3bGFZvauXJTBy0zdHGajNtl8dGrN1KyDc/0xhhM5OiLZfB7XBhjSOdLNAY8bOgIc/OFK7l6a0etq0MppZRaUBpgqLplhUJEdu8msnv3yytiv9p/uU8Mj3L/17/PUFcv2USKQEOYUHMjiJDPZBnp7ScRHSU5EuOy9/wO7WtWLHSR50RHxE/A62JwLAeN0+8bS+Xoj2cBiKbyLGsM0BLyYowhnimyfyDBUDLP4FiWP7/+rJeDBrfLYvv6NravbyOeKZDKFfG4LJqDntNeSbzB7+HT121h7/4h9u4fpDuaJl8qAc6Cfq9d2cw1Z3WybdkMJ6eUUkotQhpgqEXh1R5YABjb5td3/JjBIz3YhSLta1ZijbvQ9QUDhFuaiA8MM3y0j0e+dzfXfvxWvIFX38xBF6xupiPip280QzpfPGUBvBPyxRKHh1IUbUPY5+bsZQ24rFfqLOL3sKTBx5FoiueOjfG1+w/y59efdUo6jQFPxVPRVsrndvGGbUt4/VmddEVTxDMF3JbF0kY/rWFfTfNSSiml6okGGErViYGDR4n2HCefytK2ZjmWdeqv6CJCY2cbI73HSQyN0P30i2y49LULUNrZSeaKPHxwiEcORhlJ57EEOhv8XL6pnYvWtL48o5PP4+LyTe0ci2XojqZZ1x6edLan/niWZK6I2yUsbw6cFFyc4HZZrG0NsW8gyfPHxjgynJzXGZdERGd4UkopdUbRAEOpOnH48WdJx8YINkUmDS5OEBFCTY0kY3EOP/bsogkwHjo4xLcf7mIokSOazJErLy4X9Lp48ugoy5sCfGjXBrYsbQDgra9dwf7+BE90jfDSQILWsJfmoBe3y6JQshlJ5ugZSSMCLUEvHdOsAeF2WbQEPURTefbuH9ILfqWUUmoOnV5HY6VUzcT7h8inM/jDoRn39YWDFDI5EkMjlIrFeSjd6XnwwBBf23uQ5/rijKbztDf42bwkwqYlERqDHvrjWZ7qGeVzP9/H/v4xwFnJ+pNv2MLlm9rZ0BGmZBsODSZ54VicI0NJSsYQ8Lrwul1s7Jx5Ve7GgIdktkDvaHo+TlkppZQ6Y+kdDKXqRKlYwhiQGVZ/BucuhoizboNdLOFy1+9beTiZ41sPHebwUJLWsI/2yMl3GlpCPpqDXvpGMxwaTPK1vQf57M2vcVa49rn51Bu28NJAkj37BtjXP0auUCLgdbOqJciDLw1xPJ6taFC2JYIBiiUzR2eqlFJKKdAAQ6m64Q+HcHncFHP5GQOGYr6AWILb68Htq34q1fn0wP5BhpI5Ah73KcHFCSLOGIqXBhL0xTI8eXSES9a1vfzapvLdjvHS+SJP9cboGc1QLNkzBhmZQgmvy6KhxoO5lVJKKXUy7SKlVJ1YsW0jwcYw6Xhixn3T8QSBhggrzt5U1zNsGWN48KUhosk8bZHpZ04SEVrDPqLJHA8eGJox7aDXzXkrmmgMeBhJF2bcP5rK0RL2cvHa6Vf6VkoppdTp0QBDqTqx5vxtBJsaKWRzZBOpKffLZ3JkxhIEmyKsu+iceSxh9bKFEvF0gULJJuidebXqiN9DJl9iYCxXUfq7t3TSHvExlMiSLZSm3G84maNkw5IGvwYYSiml1BzTLlJK1Ql/JMS2q3dQyGYZ6R2gkMsRbGzA5XHepnapRDqeJDUao3FJO+svPq/uV/MeP9qh0jst5pQjp3buika2r2sjW7A5NJSkI+KnJeTFVR7Hki2UGE7mGMsWWd8e5vcuXo3PPXOgo5RSSqnZ0wBDqTqy6bILKBYKPH/vw6RGYgx39708HqNYKOIPB2lZsZR1F53Da2/YvcClnVnA4yLsc+OyhEy+SGCKBfNOSOWK+D2uiheiExE+eOU6DIaHD0UZSmTpH8vidVsYA0Xb0Brysqkzwi071rBzQ1stTksppZRS09AAQ6k6IiJs272dzvWrOPTo0/S98BKFbA4DuD1ulmxax7qLzmHp5nV1PfbiBBFh+4Y2jgwnGU7mWdky9UeOMYZoMkd7xMeO9ZUHAj63i49ctZEd69u4b/8gz/XFKZRsBCHsd7F9XRtXb+1kZUuwFqeklFJKqRlogKFUHWpbvZy21cvJpzOkYgkwBn9DiEBk8S0Qt2tzB7947jj7BxKMpvM0B0+d9coYw8BYFtsYljQGuGRda1V5WJZw4ZoWLlzTQiydJ54pYInQHvHh92iXKKWUUmo+aYChVB3zBgN4g4GFLsZpWdoU4KYLV/G9R49yeDhJMlugNeQjUB70ncwWGUrmKJZs1rWHufWytfhOIyhoCnppmiSIUUoppdT80ABDKTXnrj93KSLwb4/3EE3m6I6myJcMYPB7XLSFfbQ3+Hn/5es4f3V9zvKUzhcZSuQo2YamoJeWkAYxSiml1GQ0wFBKzTkR4fpzl3Hhmhb27h/kkUPDjGWctSvaI34u39jO5Zva63IRvCPDSe59cZBfH46SzhcxBrxui7OWNbB7SycXrGrGqmD1daWUUupMoQGGUmredDT4eftFq3j7RavKA7GZcQXuhfSz547z3UePMpTIMZLO47EsRCBXtOkdTfPb7hg71rfyh1duwOuu3/NQSiml5pMGGEqpBeGp48AC4L79g3z710c5NJikKehhY0cEXzmIKNmG0XSeruEk+aKNyxL+eNeGRTGzl1JKKTXX6vsbXimlFkAmX+L7j3VzZDjJkkY/y5sCLwcXAC5LaAv7WN8e5lgszUMHh3muL76AJVZKKaXqR90EGCKyQ0R+IiIjIpIWkWdE5OMiUtV0MiJipnn8eprj3iQie0UkLiJJEXlURG45/TNTSi02jxweZjCRw2NZtE4zmPvEAPXhZI779g/OYwmVUkqp+lUXXaRE5C3AXUAWuBMYAW4AvgDsBG6uMsmjwO2TbO+dIv+PALcBUeA7QB64CbhdRM4xxnyqyvyVUovYY10jjKTytIZnnimqNeTlxf4ET/XEyBZKuu6GUkqpM96CBxgi0gD8C1ACdhljHi9v/2tgD3CTiLzDGHNHFcl2GWP+rsL81wD/iBPUXGiM6Spv/2/AY8AnReQuY8wjVeSvlFrExjJF8kWbQAXBgttl4bKEQskmmStqgKGUUuqMVw9dpG4C2oE7TgQXAMaYLPBX5f/+0Rzm/z7AB3z5RHBRzn8U+O/l//7hHOavlKozbksQAduYGfc1xmAbg4jg0elqlVJKqYW/gwHsLj//bJLXHgDSwA4R8RljchWm2SQi7wOWAHHgCWPMVOMvpsv/pxP2UUotkHg6T/dImoJtaPC7WdsWxjVHF/QrW4KEfW7imQJB7/Qfk6lcCbdl0Rb2EfHX3zoeSiml1HyrhwBjc/n5wMQXjDFFETkCbAPWAS9WmOZ5wNfHbxCRp4HfN8Y8W0X+x0UkBawQkaAxJj1dpiLyxBQvbams2EqpiQ4NJfn58/083jVCMlvENgaP22JZY4ArN7dz9ZZOQr7afpTt2tzB3v2DHBxM0h72TblWhzGGwWSOtrCXKze164J7SimlFPURYDSWn6ea4/HE9qYK0/s8zoDxAziDxrcAn8bpirVHRF5jjOmrMv9Qeb9pAwylVG3dt2+A2x/uoj+eJZbO4/e4cFlCtlCiZyTN4aEkjxyK8onXbaY94qtZvuvbQ2xd2kA0meNINMXa1tApQYYxhmPxLMWSYUljgCs2ttcsf6WUUmoxq0mAISJdwOoqDvlXY8y7K02+/DxzZ2jAGPPJCZseB24WkR8AbwM+BfyXCvOuKn9jzAWTJuDc2Ti/ijyVOuM91jXCNx46wsHBJI0BD5uXRF5enM8YQzJX5Fg8S6Z7lM/fs5+/ftNZM3ZnqpSI8Ee7NjCazvPCsTFe7E/QHPTQEPAgQDpfIprK43O72NgZ5o93baB5mulslVJKqTNJre5gHMK5W1CpY+P+feLOQeNkOwINE/abra/iBBhXTNgeB9rK+UenyX/sNPNXSlXItg13PtbN0WiatrCPjgl3J0SEiN/DBq+bg4NJ9vWPsXf/INefs6xmZWgJefnL68/i6786zDO9MaKpPEPJPBiD1+1iTWuI1a1Bbtmxlq1LG2ZOUCmllDpD1CTAMMZcfRqH7wcuBDYBJ41hEBE3sBYoAodPIw+AofJzaJL828r5nzQVrYgsLe/fO9P4C6VU7TzdG6N3NEOxZNM+zVoULktY2uSnP55l7/4hrt22tKbjIJpDXj71hi30jqZ54MAQx+NZSrahKehh+7pWzl7eiIiOu1BKKaXGq4cxGHuAdwHXAt+b8NoVQBB4oIoZpKZyafl5YqCyB2cxv2uZEGAA143bRyk1T57sHmU0lac15J3xAj7ic9NrG/pGM3SPpFnTdvJvCMfjGbqGUxRtQ9jnZuvShqrXqljRHOSdl1TTC1QppZQ6c9VDgPED4LPAO0TktnEL7fmBvy/v85XxB4hIEFgFpI0x3eO2nw/sN8akJux/LvD/lv/7nQn5fxP4U+AjIvLNcQvtNQN/Ud7nq6d1hkqpqqRyRQolm4h/5nENIoLPbb280N0Jz/TG+Nlz/TzXFyOZK2GMweOy6Ij42LmxjevOXkpTUMdNKKWUUrW24AGGMWZMRD6AE2jsFZE7cFbVfjPOFLI/AO6ccNjFwH3A/cCucds/BtwoInuAHiCHM4vUtYALZ8Xwk+6SGGOOiMh/Bb4EPC4idwJ5nFmnVgCf01W8lZpfHpeFJULJrmhuB0q2wbLA63YGgd/99DHufKyb4/EMyWyRsN+NJUKuUKJnNM3RkTRPHB3lE6/bzLKmwFyeilJKKXXGWfAAA8AY8yMRuRL4S5yB2H7gIPAJ4EvGVLCcruNHOIOyz8VZHM+PM3D7p8C/GGP+c4r8byvPhPUp4D04K5y/APyVMeZbsz0vpdTsrGsPE/G7iaXztMwwO1OuUCJfMjQEPKxoDnD/gUHueKybQ4NJ2sJeVjYHT1qQL5Mv0RvL8HRPjM/fs5+/vWGbLpCnlFJK1VBdBBgAxpiHgOsr3Hcvr0wfO377j3CCjNnkfzdw92yOVUrV1s4Nbdz1ZA/H4hnS+eK0088OJnK0hLxsX9eG12Xxwyf76BpOsaTRT+skwUnA62J9e4hDQ0kODia5b/8gbz5v+VyejlJKKXVGmXx5WqWUWkBhn5tdmzpY0RzkyHCadL54yj62MRyPZ0jlSyxr8nPN1k6eODrKsVgGAVqCU9+VsERY0uBnOJlj7/4hiiV7Ds9GKaWUOrPUzR0MpZQa7+YLV3I8nuXhQ8McGU7j91g0BTxYlpAt2IyknJW9N3aG+eDl61nZEuTnz/cTyzjdqmaafSrsc2Pbhv54hp7RNGvbwvN0ZkoppdSrm1Q+vEHNlohEA4FAy9atWxe6KEotKgaIpfIkckWKJZuSMWCcmaNcljN7VHPIS6A87exgIkcsncdtyUnjLqaSK9q4LYtlTf6qp65VSiml6tGLL75IJpMZMca0LlQZNMCYByJyBGfwedcCF2UhbCk/71vQUiwOWlfV0fqqnNZV5bSuqqP1VTmtq8ppXVVnYn2tAcaMMWsXpjgaYKg5JiJPABhjLljostQ7ravqaH1VTuuqclpX1dH6qpzWVeW0rqpTj/Wlg7yVUkoppZRSNaMBhlJKKaWUUqpmNMBQSimllFJK1YwGGEoppZRSSqma0QBDKaWUUkopVTM6i5RSSimllFKqZvQOhlJKKaWUUqpmNMBQSimllFJK1YwGGEoppZRSSqma0QBDKaWUUkopVTMaYCillFJKKaVqRgMMpZRSSimlVM1ogKGUUkoppZSqGQ0w1KyIyA4R+YmIjIhIWkSeEZGPi4irynTMNI9fT3Pcm0Rkr4jERSQpIo+KyC2nf2a1V4u6EpHlIvJREfmpiHSJSE5EoiJyj4jcOMUxu2ao3/9Ru7OsnIisEJFviMix8nl0icgXRaS5ynRaysedqI9j5XRXzHXe8+V0yysiIRF5l4h8V0T2iUhKRBIi8riIfFJEvFMcN6v35UKqxd+2/Jky3bn7pzjuLBH5vogMikhWRPaLyGdEJFC7M6ytGrStmT5fTjxWTjhuUbUtEblJRG4TkQdFZKxczu/MMq2q63wxta1a1JWItIrI+0XkhyJyUEQy4nzP/0pE/kBETrluFZE1M7SrO2p3lrVRq3ZVbkNTnXf/NMfV5BpuOu5aJaTOHCLyFuAuIAvcCYwANwBfAHYCN1eZ5FHg9km2906R/0eA24Ao8B0gD9wE3C4i5xhjPlVl/nOmhnX1UeDTwBHgPqAfWA3cCFwjIl8wxnxiimPvB/ZOsv1XFeZdMyKyHngY6AD+A9gHXAz8CXCtiOw0xkQrSKe1nM4mYA9wB7AFuBV4o4hsN8Ycnou850uNyns5zntkBKfd/AhowWmD/wjcKCJXG2Oykxxb1ftyIc3B3/YzU2wvTpL3JTht0AP8AOgBdgN/A1xdrt9cFXnPuRrVVxdT19M5OJ9NzxtjeiZ5fdG0LeCvgPOAJE75tswmkdnU+SJsW7Woq5uBrwDHcT6zuoFOnPb0v4DrRORmM/kq0U/jfMZN9NwsyjHXatKuyuLAFyfZnpxs5zm4hpucMUYf+qj4ATQAg0AOuHDcdj/Oh6cB3lFFegbYW8X+a8pviiiwZtz2ZuBgOb3tC11Pta4rnA/XKyfZvhXnw8UAF0x4bVd5+98tdF2MK9PPy2X66ITtny9v/2qF6XytvP/nJ2z/WHn7z+Yq78VUV8BrgHcB3gnbI8AT5XQ+OclxVb0vF/pRw3a11/larDhfF/BCOY83j9tu4VwQGuDPFrp+5qq+pkn/e+V0PvYqaFtXARsBGfeZ+p25rvPF2LZqUVc4AdQNgDVh+xKcYMMAb5vw2pry9tsXug4WoF11AV1V7F/Ta7hp81roStbH4noA7ys3wG9N8tru8mv3V5FetQHGfysf85lqyvZqqKtp8vlnJrlQpM4CDGBduTxHJvnyiOD82pICQjOkEwLS5f0jE16zyukbYF2t815sdTVDHu8s53H3JK8tmovAWtYV1QcYU76Px5WrC5CFrqf5altAK86PQGmgeTG3rUnKfuIztdqL5qrrfDG2rVrU1Qxp/kU5zdsmbF/DIgswalVXVB9gzMt1iTFGx2Coqu0uP/9sktcewPlS2SEivirSbBKR94nIX4jIh0Xk0lnm/9MJ+yy0uairyRTKz6d03yjbICIfKdfv+0Rk42nmN1sn6uMXxhh7/AvGmATwEBAEpvv7A2wHAsBD5ePGp2MDvyj/96o5yHu+zEd5Z2o31bwvF1LN60pEfldE/kxEPiEi103zHp3yPW6cLnoHcLoyrqs073kw123rvYAP+DdjzOgU+yyWtlUrs6nzxdi25tpMn1nLRORD5Xb1IRE5d74KtsB8IvLu8nn/iYhcNc1Yivm6LtExGKpqm8vPBya+YIwpisgRYBvOh96LFaZ5HvD18RtE5Gng940xz1aR/3ERSQErRCRojElXmP9cmYu6OomINABvw/nV4RdT7Pau8mP8cXcBH5jmAmAuTFkfZS8Br8cZV3HvaaZDOZ1a5z1f5qO87ys/T/ZFA9W9LxfSXNTVxEGhgyLyYWPMD2aR96by41CFec+1uW5b7y8/f22afRZL26qV2dT5Ymxbc0ZE3MB7yv+d6jPrdeXH+OP2ArcYY7rnrnQLbgnw7QnbjojIrcaY+ydsn/PrkhP0DoaqVmP5OT7F6ye2N1WY3udxBhW149wqvginf+l5wB4RWT7L/BuneH0+1bquTiIigjPorRP4ijFm4ofBEPBnOAMuIzh1fB3wW5yg5O7JZuSYQ7Wqj9mkM6d/izkw123nI8C1wFPANybZpdr35UKqZV39B07/7xU4d8m2AP9QPvZOEbluDvOeL3NWZhG5EqfOnjfGPDzFboupbdXKmfCZNdf+B3A28BNjzM8nvJYG/h/gApzxmM3AlTiDxHcB94pIaP6KOq++CVyNE2SEcL7vv4bTbeynInLehP3nrV1pgHEGmmFas8ke1UydJuVnU8nOxphPGmMeNsYMG2OSxpjHjTE348xw0AZUOyNUVfnPmFgd1dUkPocz28ODwCkzSBljnjfGfNYY81y5boeNMT/D+cA9gvMlf8Ms854LtfrbzSadmrabeTDr8oozrfEXcWYie5sxpjBxnzl4Xy6kiuvKGPMFY8yPjTF9xpisMWa/MeYvgE/ifF/+97nKu46cTpk/WH6e8u7Fq6xt1cqZ8Jk1ayLyMZz34D7g9ye+bowZNMb8jTHmSWNMrPx4AOeu0KPABl65s/aqYoz5jDFmjzFmwBiTLn/f/yFOIB8A/q7KJGvWrjTAODMdAvZX8Tg27tiZ7hA0TNhvtr5afr5iwvZK8x87zfxPqMu6EpH/D/gvOH0mrzdVTFVojBkDvlv+78T6nUu1qo/ZpDNf7bZW5qS8IvJWnO4/g8AuM2Eq3wpM9b5cSPPxt/1fOP2+XyMikXnOu9bmqm214NwZzXBqd41K1GPbqpUz4TNrTojIh4H/H2dGrauMMSOVHmuMKeK8d+HV2a6mc7rXUKfdrnQMxhnIGHP1aRy+H7gQp9/nE+NfKPeRXIvzRVzthctEQ+Xnibc19+P8yrUJeGRC/kvL+/fWavxFPdaViHwB+DjO7d83zfJcp6rfubS//LxpitdPDD6fqs/x6aRTq7znS83LKyI34wSW/cBuY8xLMxwymYVoNzOZ87+tMSYrIgmcrhch4MTkAoutXcHclfkWnMHd3zLGxGZRrnpsW7VyJnxm1ZyIfBxnbYbngKuNMYOzSObV3K6mc6KuJruGmo9rOL2Doaq2p/x87SSvXYEzE8bD1fyiPoUTs2lMbOTT5X/dhH0WWk3rShz/hBNc3AO88TQCqanqdy7dV35+/cSxH+VfhXfi/Po502q+vy7vt3PCr8mU0339hPxqmfd8qWl5ReSdOGsTHMNZT2U2wQUsTLuZyZz/bUVkM05wkQCGx7005XtcRNbhfIkf5cyorw+Un/95luWqx7ZVK7Op88XYtmpGRD6NE1w8hXPnYjbBBby629V0tpefq7mGquU1nK6DoY/qHji3z4aoYpGWcoPdAqyasP18JplrHTgX50vcAO+c8NpaFtdCe7WqKwH+pXzMTwB/BfnvZMKc6+Xt7wbscrnWVHtep1kn1S42tQXYMkk6Jxba+9yE7WfsQnvT1NUtQAnni2Z1BflW/b5c6Ect6gpn1pTlk6TdNu79+s8TXptuMbR/ow4XQ6tl2xr3+uXl4559tbWtCeXcxTTrFeCsuL0FWF+DOl+UbatGdfXX5WMfB1oqyOsSJiwmWt6+G+d6wQA7FrpOal1XOLM9nVI/ONMXv1RO8y8mvFb1dclsH1JOWKmKlftx/wDnjXsHzjLzb8aZ/uwHwNvNuIYlIrtwfsG53xiza9z223FWqN4D9OA0+C04kbUL54L6Q2ZCIxWRjwJfwgky7gTywE04M798zhhTN4MEa1hXf4szWCuDM0A3P0l2TxljfjTumC6cL6OHgV6cD5CLgItxboF+wBhzey3Os1Iisr5cng6cGXtexPlyuArnVv8OY0x03P4GwBgjE9JpLaezCaf9/AZnVfO34Nwa3mGMOTThmKryXmi1qCsRuQr4JU47+AbO+2yimDHmi+OOuZ1ZvC8XUo3q6r04/bXvxxl7NQKsAq7H6a/8OPA6M6H7j4hcglNXHpz3dDfOrC4X4qxvcLWpxa+BNVSr9+G417+N88PFx4wxt02T7+0svrb1VuCt5f8uAd6AE6w/WN42fOI7R0TW4EygcdQYs2ZCOlV//iy2tlWLuhKRW4DbcX4UuY3JxwJ0jf/uKk9Fuw1nocze8uZzeWXNh782xvz97M+s9mpUV3+HM1PkfeXXE8B64I043/c/AX7HGHPS9UK11yWzttCRmz4W5wPn1/GfAKM4F73P4gw6dk2y7y4mWb0V58317zh3HsZwLpqPA3cz7hebKfK/AedCIIGzAupjOHNdL3jdzFFd3V7ePt3j9gnHfBqnK1VPOd8szoXTN4HzFrA+VpbLcLz8Nz+KM4hvsl9iDFOsrAy0lI87Oq7tfANYUYu86+FxunWFs+jZTO2ma8Ixs35fLvK6Oqf8PnsW58eLAs4X74PAR5nkF9Jxx56F86vyMM5F8wHgM0Bgoetlrupr3GvN5c+XNNA0Q56Lrm3h/LBT0fuHV1aU7poirao/fxZT26pFXVWQxmTfj38A/BhnVetkuZ66cX6AvHyh62UO6+pKnK6v+4AYzmfWEM73/nuYZpV3qrgumW/dql4AAADISURBVO1D72AopZRSSimlakYHeSullFJKKaVqRgMMpZRSSimlVM1ogKGUUkoppZSqGQ0wlFJKKaWUUjWjAYZSSimllFKqZjTAUEoppZRSStWMBhhKKaWUUkqpmtEAQymllFJKKVUzGmAopZRSSimlakYDDKWUUkoppVTNaIChlFJKKaWUqhkNMJRSSimllFI1owGGUkoppZRSqmY0wFBKKaWUUkrVjAYYSimllFJKqZrRAEMppZRSSilVMxpgKKWUUkoppWrm/wIkjGRiLwytEQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 263,
       "width": 396
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.animation as animation\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "def animate(i):\n",
    "    plt.cla()\n",
    "    pi, mu, Sigma = hist_coeffs[i]\n",
    "    r = hist_responsibilities[i]\n",
    "    plot_mixtures(X, mu, pi, Sigma, r)\n",
    "    plt.title(f\"EM Iteration: {i}\")\n",
    "\n",
    "nits = len(hist_log_likelihood)\n",
    "ani = animation.FuncAnimation(fig, animate, nits, interval=300)\n",
    "ani.save(\"/Users/gerardoduran/Desktop/gmm.gif\", fps=9, dpi=150, writer=\"imagemagick\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## K-means as the limit of a GMM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 239,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1a1ed2fb90>"
      ]
     },
     "execution_count": 239,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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+736CLtzD7K9QWukmrovdvqFRffung5GOHURxEBd2cR/HQrdaBe1pasQC8FIyERRI+opywcBrkrZJmuayE2PM6ZKekDRR0o8kbZR0vqRFki4zxnRba18q2qZL0sOSDpd0t6Stki6V9DeSeowxPdba/S7nAwBAErLQ/91v4R5UuRaUSaebRFnsLukdVBpDl70gzmVxH2She/Ud/bri7JP0+Us7DvlOve992S/8i6M9Wa6FKKcRgp6gshIUXKdcMDCk3B2DRxz38z3lAoKF1tpbvSeNMd/KH+Obkj5T8Px7JC2XNF7Sx6219+efb5J0l6Sr8tstdjwfAABil5X+76UW7jvH9unO/hHZmGoCkko3ce3elOTU5WKubUyDLnStpPuf2q77n9r+TnAhqWwAEkTWaiH8VKuLVxZlIiiw1r4TBBhjnPZhjDlN0mxJmyV9t+jlr0n6lKT5xpgvWmtfzz//YUnTJT3mBQT58zlgjPlL5YKCzxhjbrY2yH/eAABIR5b6vxcv3M+afGymW1BG6d6U1NTlYl1tLdo1tt/pKnaYha7Hu3MgKfJdkLhqIZJWzS5eWZSJoCAml+YfH7LWHih8wVo7ZozpUy5ouEBSb9E2DxbvzFr7nDFmQFKnpNMkPet3AsaYtWVeckqHAgCgWOFV+T+aeZJ+vH57xavy1Vh8Z70FZZTuTUlMXS7mBXEuV7FPaD7C+Sp/XFc/0/iO4lDNLl5ZVE9BwRn5x4Eyrw8qFxR06t2gIMg2nfk/vkEBAABJqZRX3nzkYRorsRCr5uI7yy0of/v8q07beZ/BhZH0Zx/yH2DmBXEui/v+4d36j18973R+cYp7wF1Sqt3FK2tq46cWzLH5x1fKvO49f1zEbcqy1p5X6vn8HYRzg+wDAIBifnnlY/vekpF0xdnvU8fEozOz+Jay14Jy5ZoR3bNum9O2O8f26Q/POtVp2+s+0qmFPR26+IyJge6gLO8LPuys0MbtbgFPnGol577aXbyypj4/VWlesUKYu2Mu2wAAEJswRaM/Xv+CVizoqplFWdq879L1f+p39o9oxuTjQhd5Tz+x+Z2ajqB3UGr1avRprUdlKgisJM4uXlm8IxZWPQUF3lX9Y8u8fkzR+1y3AQAgNXRHCafS4sylALeQzRf0Xn/ZNP1y8+7ARd5fufzMQ573u4Oyc2yf0zlOO6lZj2za5bRtHIZHX1ff0GhN/A7G0cWrnoae1VNQsCn/2Fnmda/tQmH9gMs2AACkgu4owfktzq46d3IsrUQPWOnhjTsTnbq8cs2I7uwfcTq/T/zeFK3d8nJqbVOLWdVWYBqli1e9DT1rqvYJxMhrazo7P2fgHcaYZkndkt6Q9GTBSw/nHy8r3lm+xWmnctONn4v9bAEA8BGlO0ojWblmRPOX9ZddCK8e3q0b7tkQ2/H6h3fr96ZO0IoFXepqayn5nq62Fq1Y0BV6MfhOipPDHQ3vKvaing41uXV4j4UXmNYCbzq33/dVHOCFHXpWC/9O1tydAmPM4ZJOl/SmtfadjkDW2meNMQ8p12Hoc5JuLdjsRklHSbq9YEaBJP1c0jOSLjLG/HHR8LKb8+/5PjMKAADVQHcUf2FqLuI+7rXdbbF3WHJNcSq8iu0tdIN8L0mp1Laz+PuafNw4Pf/yG1XLx3dpoVuPaX2ZCAqMMVdKujL/1xPzjxcaY36Y/+dRa+2X8v88WbmF/BZJpxbt6rOSnpC01BjTk39fl6RLlEsB+uvCN1tr3zbGXKvcHYO7jTF3SxqR1CPpA5L6JN0Sw0cEACA0uqP4i1on4Kow8ArSYSlI4OA6Ldno0DQlv4Vu0koFppVSvIqlnY8fpoVuvab1ZeW/GudIuqboudPyf6RcAPAl+cjfLfiApG8olxL0MUnbJS2VdKO19pCfoLW23xgzS7m7CbMlNeeP9w1Ji621+50+EQAAEcXZHaUePfTbF6uWOx808ApTiOqaYnL1BaeUTFPqbm/VCc1HaPYtjzntN4ri78cv/75YtfLxgwR49Tr0LBNBgbX265K+HvC9m/Vuq9BSr2+VdG3I4z8t6ZNhtgEAIGlxdEepR2GuOCclSOAVthDVNe1rYvMRZV+rVi574fcTNMWrmJePP3nCuEwFuvWa1ldPhcYAANSdMEWjxd1R6pFfUXEaggReLoWogzvdinMr3bWIuhA1qhx0lFL8/URJ8fLy8bOkXtP6CAoAAMgw1+4o9cj1inOxKI15ggZeYQtR/+7HT+uBp7Y7nVOln3nUhaiVdPxR73UOTF3rJAplrZtRvab1ZTtkAQAATt1Rsihql564iooXXzVD9657PnQBbtDAy2Uh/MyLbotev7sWcfxOPPPimK77SIeW/Kzy91/q+4krfalcPn41JgnXa1ofQQEAADUgTHeUrIlj6mscV5yl3OJs3qypmjdr6iHf5fj3vqdssBAm8Eorj98EuGvhsoAt5ZgjD9eKBV2hA9O48uiL91PtScJRhp5lFUEBAAA1JEh3lCyJa+prHAvt4sVZqe+yVLAQNvBKq6D0ipknBVr4Lurp0H+7oz/SsV7b95ZTYBpXHn3hfrIwSTjoLIhaSusjKAAAAIkIW2xbqctMHAWzQRdnfoGX36I4rYLSjonBApUTQhYKl1L4mcIEpnEthl0nCSfZuahe0vo8BAUAACARcU59jbzQNtLkCeMi7SJoykpai8AwsxKimnzcOC3vGw599ySO9KXCfPysTRKu5bS+YgQFAAAgdnFPfY26sLMRF4hhU1biyOP3E/SzrHr2pUjHaT7yMH1qxdpDng+aux8m/75YYcpXlicJ11paXym0JAUAALGLMvW1FO+KcxT9w7v1tR/9Rsv7hkO1uHSZORBmvoSLoN1s+oZG9dOnd0Q61liZ1C0vELprzdaK2wdtq1usOB8/7t8pHIygAAAAxC6Jqa9xLLT/edUW3fjA05p9y2Oae/uqQAtG15QVl4VwEGG62SzpHVQMXVzLKgyEKpk3a6pWLOhSV8DArqutRSsWdB1UKFyvk4SzgvQhAAAQuySmvgbt+BJUccpPqbxw731heCkrfoWoLsJ0s4nSxvU9Rno75tz9cvn3k48bp+dffsM3H79eJwlnBd8SAACIXVJTX72F9l/du0Fbdu91OkahA1a6/t71WtY3rE0lBoid0jLeab/esK3ihfBjA7v0yKZdTvsM280mStpM0IDAEyZ33zX/vl4nCWcF6UMAACB2LjUAQfPku9tb9YNrPuB6aoewViUDAknOgUdxykrnpGZd292mL39sutP+/nH+eVr56QtDLXBd02amnehWMJt07n6Sv1MgKAAAAAkJUwMQduprHIXHSSqXsuK6sJ39/hNjOwc/x4xz227zS69rYMeYlvcN69bewdAF3UEk+TvV6AgKAABAIoIW27pOfU26w08UlT5L2POeOeXY2M+hkjffOuC03X+s26bZtzymGx94Wv/w04HQBd1BJP071cgICgAAQGL8us6U6jITVJIdfqLwS1npbm/Vgg+2Bd7fHb8Y1lfv2xD6qrvrXYnD3+O2PHx139slnw/aujSoJH+nGhmFxgAAIFFJTn1NosNPFJVSVgo//0O/DT47wEpa8eSIVjw5EnhgmCfM4DDv3O/4xXOBzy0or3Xp5AnjYrl6X0+ThLOCoAAAAKSiUtcZb3G3efR17Xh1nyYde6ROPf6oQIu84gXi5pde1z8/sSWJj1BRuZSVvqFRLekdjGXCcXEbVT9B27gWnvvjQ+4dkioJ2ro0jHqYJJwVBAUAAKBqgiyYg14dL1wgPrPdvUe/i3LtQleuGYltroIn7FV3v7spxef+id+botsejf9ugRSudSnSRVAAAAAicU3hCLpgDnt1XAqXNhPFKS3j9YNrPlDy8/YNjcYeEHjCXnUPk27TOalZZ5zYXLZNa1TeDAdkC0EBAABwUukqv9/V/bAL5rBXx+OeflxOpTkGS3oHEz22y1X3oOk2f3P5mbr6jn4lcfqu8xOQLLoPAQCA0FauGdH8Zf1lU3T8Os64LJi9q+NB+XWpme44pKtYqXabAzvSSV9KamBYd3urFl81Q0k0dnKdn4Bk8VMBAAChBL3KX+7qfpQFc//wbn3tR7/Rqa1uRche2sz4975H96x73ukcipW68r1iVTqFzkledferRZg55Vit3/ZK6P0yOyCbCAoAAEAoYa7yl8p9j3p1+58LFtwuRchxF/8WX/leuWZEdz6ZTlCQ9FV3v1qEubevChXg+c1wQPUQFAAAgMBcrvIX577HeXU7bBFyEsW/xQHPl+/dkEguvt+xk1SuFsFlDgKyiZoCAAAQmOtV/sLt4r667aUpBTm3b/z46VgDguIr30kXF1c6djUEnSpdboZDVAM7xrS8b1i39g5qed9w6KnPeBd3CgAASEg9Tlt1vcpfuF0SV7cPWGnxT57RA1/4UNn3LOkdiLXNZvGV76jFxZOaj9DOsf2B7jKUu+pejd+5sHMQ4hCl8xVKIygAACBm9bxgcb3KX7hd56Rmnd/WEnt3ng3Pv6orbn1cN3x0Wsmpwt/+afDORX5KXfmOUithJH1r3jnatmevb3qTkXT5zJN0QvMRBx077d+54gDkb688651zSTIo8asJcZlrAYICAABiVe8LFteFZfF2SQ0X2/D8KyW/3yW9g7Hl+Ze78h1HrYTfVXdJspLuf2q77n9qu85va9HZU47VsseHU/udq2bQG7XzFcojKAAAICaNsGBxucpfKvc9yeFixd9v1LSey94/Se9/37G+V76j1EpYvdulqbDjz3ceHtQDT20vG9CsHt4d6LPF9TtX7aA3aucrlEehMQAAMXFZsNSiRT0dvoWlnkodZ/yGi0VR+P1GbYH6F7PP0Bd6OnRtd1vFVJioi0+vS5Nn19h+/Xh9+YAgrKi/c2GD3rgHq0XpfAV/BAUAAMSgkRYscXac6W5v1cpPX6iHrrtIX7viTF1z4Sm67P2T9PGz3xf5PL3vN0paT5gOP95dlCgKF9Jxd0qSov3OVTvojaPzFcojfQgAgBhEWbDUYkeiuDvOlOqDv/3VfZGLkfuGRp3TeozC99WPWivhBTBxd0oq5PI7F8d8iqji6HyF8ggKAACIQSMuWPym3UYVRzHya/ve0h+edaLTttd9pDN0SpB3F+WGe9wGmA3ufC32TknFXH7nshD0xtH5CuXxLQEAEINGXrCUm3YbVRzFyEcfeZhTcfT0E5udp+/OmzVVknT9PRtCb/vAUy9oYMdYohORXX7nshD0xtX5CqVRUwAAQAxYsCTDK0aeMfkYp+297zdscfRXLj/T6XieebOmOtUXWEkbE0ob8rj8zmUh6HWp2cjC1OdaQVAAAEAMWLAkp7u9VQ984UOaMfnYUNsVfr9xFkcHtainQyZgIJIW19+5rAS9cXW+wqEICgAAiAkLlmTd8NFpkb5fvxaoXW0tWrGgK7b++t3trbp85kmx7CsOUX7nshL0ViO4axS1n8gIAEBGBM2BZ8HiJo7vN+ni6GKdE5slbY99v2HF8TsXpvA7yaA37s5XyCEoAAAgRixYkhXX95tUcXSxtArJrzp3srbteSPR37ksBb1pB3eNgKAAAICYsWBJVtTvN82fSxrB3/QTm/UPc8+RlPxny1rQm1Zw1wgICgAASAgLlmSF/X77hka1pHewZGvS89tatCiBxaxLO9RpJzZrYMdY4DSdwk5JafzOEfTWJ4ICAABQ91auGamY9rJ6eLeuvqNfV5z9PnVMPLpqQ9iajPTVy8/Utj17M5GmUwlBb30hKAAAAHWtb2g00AA0K+n+p1446DnXOwjFV9EX/UGHlvxsMNQiP0tpOqh/BAUAAKCuLemtvBivZPXwbs1f1q/Fc2YGalVaKUXpjBOb1STpmRLDyUot8knTQZoyFRQYY6ZI+oakyyQdr1wPr/sk3Wit3RNg+4slPRLgUFOttVsLtqv0n4p+a+0FAfYJAAAyZmDHWKh8/lIOWOmGe9dr8oRxFa/M+6UobXpxTE1G+ouPdKr5yMMCL/LTSNMh8EBmggJjzOmSnpA0UdKPJG2UdL6kRZIuM8Z0W2tf8tnNZkk3lnlthqQ5kn5bGBAU2CLphyWe3+Z78gAAIJP6hkZj2c8BKy3tHSwbFARNUTpgpW//bHjw7QgAACAASURBVEArFnRlIvWnGsXXyKbMBAWSvqdcQLDQWnur96Qx5luSrpP0TUmfqbQDa+1mSV8v9Zox5t/y//iPZTbfbK0tuS0AAKhNr+17K7Z99Q/v1sCOsZJX0MOkKPkFGGkJUnwdJnUKta2p2icgScaY0yTNVu5K/3eLXv6apNclzTfGHOW4/+MlfULSG5JWuJ8pAACoJXEPDyt158ElRckLMKolzJ2NG+5dH9sdF2RXVu4UXJp/fMhae6DwBWvtmDGmT7mg4QJJvQ77/x+SjpD0LxVqE44zxvyppBMlvSJprbX2yTAHMcasLfPStDD7AQAA8Yj7anypOw+uC+a+odGq5e3X4p0NJCsTdwoknZF/HCjz+mD+sdNx/3+Wf7y9wnvOlrRMuTSl70haZYz5tTFmhuMxAQBAlXnDw+Kyc2z/Ic+5pijFmdoURi3e2UDyshIUHJt/fKXM697zx4XdsTHmw8pdqf+ttfaJMm/7lqRuSSdIapY0S9LdygUKDxtjJgc5lrX2vFJ/lCuaBgAAVbCopyO2ff1666EJB3vffNtpX67bRRXlzgbqV1aCAj8m/+jSZfhT+ceydwmstV+01j5hrR211r5mrf2ltfaTku6R1CrpSw7HBQAAGXBC8xGx7WvD86+WuGLuOATBebtoau3OBtKRlaDAuxNwbJnXjyl6XyDGmBZJV8m9wPj7+ceLHLYFAAAZEPcV7uL9jT/crUTz/l9vr8rVd9fi67iLtpEtWQkKNuUfy9UMePf9ytUclHONcgXGd1lrX3Y4r135R6euRwAAoPrivsJdvD/XxfLzL7+h+cv6ddeaUuOTkuNaMEyhcX3LSsjnTSGebYxpKuxAZIxpVi7f/w1JoboBSfqf+cdyswn8eJOMn3PcHgAAVFncV7iL9xdlsVw4LfmE5iNSmSrsFV+HKTbuamthwnGdy0RQYK191hjzkHJtRz8n6daCl29U7kr97dba170njTHT8tuWLOI1xnxI0nRJv6lQYCxjzLmSNhXuO//8TOU6EUnSnaE/FAAAyIS4r3AX789lkV3ogJU+c+dajZW4o5HUVOFFPR2av6w/UFvSJiMtjLFYG9mUlfQhSfqspJ2Slhpj7jPG3GSMeVi5acYDkv666P3P5P+U4xUY+90lWChpe/6Ytxpj/t4Y82NJ6yQdL+kHkv6t4h4AAEBmxdmWtPnIw7SrRFvSRT0dajIlNgioVEAgvTtVOO4Uo+72Vt00Z4bvOTcZafGcmaQONYDMBAXW2mclfUDSDyV1SfqipNMlLZV0obX2paD7MsZMkPQnClZgfJ+kn0k6S7kahIWSzpP0E0kft9Z+ylpbnfYAAAAgFlEX7Z6xfW+VXKQHXWS7SGqq8LxZU7ViQZe6ygRMXW0tWrGgS3NnnRzrcZFNhvVu8owxa88999xz164tN/AYAAAkbeWaEX353g2BJ/lW0mSkFQu6DrmC3jc0quvvWa9te96IfpAiXW0tWvnpC2Pfr5QbaJZGPQOSdd5552ndunXr8nOyQslETQEAAEDS5s2aqikTxmtp76D6S+T/v8dIbwcMGA5YaWnv4CFBQXd7qxZ8sE03PvB0HKd8EG+qcFLFxwQBjY2gAAAANIzu9lZ1t7cecmV88nHj9KkV4e7ol1ukJ5l/3zc0yuIdiSAoAAAADaf4yvjyvmGn/ZRapEftRlSJNyOBdB/EjaAAAAA0PNcBZ+W2C9PyM4ydY/s19/ZVJQOOpNqXojFkpvsQAABAtbgOOCu3XVLdiO58ckvZOxBJtS9FYyAoAAAADc/16nql7fxafjY7BCJ+Nx6Sal+K+kf6EAAAaHgudQBdbS2+efzlCpu721u1a2x/IilG5TojAZUQFAAAAChcHUCTkRb2dATed6mWn52TmnXTnBm+sxOMkcKOlUqyfSnqE+lDAAAACl4H0GSkxXNmxnIlPshU4au7pjrtmxQihMGdAgAAgDy/AWddbS1aGHOHn0opRp2TmnVr76DTfl07KqExERQAAAAU8FukJ6XcVGHXzkiDO1+LekpoIAQFAAAAJZRbpKfN9a7EA0+9oHmzTqbgGIFQUwAAAJBhXmeksKxyXYiAIAgKAAAAMm5RT4eMwyA0rwsR4If0IQAAgJSFrVfobm/V5TNP0gNPbQ99rL6h0UykQSHbCAoAAABS0jc0qiW9gyWHpJ3f1qJFFTobdU5slhQ+KKALEYIgfQgAACAFK9eMaP6y/rJTk1cP79b8Zf26a83Wkq+7diFy3Q6NhaAAAAAgYX1Do76TiyXpgJVuuHd9ycFjrl2E6D6EIAgKAAAAErakd9A3IPAcsKW7Brl0Iepqa6GeAIEQFAAAACRoYMdY2ZShcsp1DVrU06GmgF2Imoy0sKcj1HHRuAgKAAAAElQqFch1u+72Vt00Z4ZvYNBkpMVzZpI6hMCoPAEAAEiQa/efctvNmzVVUyaM19LeQfWXuAPR1daihRW6GAGlEBQAAAAkKImuQd3trepubw097wAoh6AAAAAgQUl2Deqc1EwQgFhQUwAAAJAgugahFhAUAAAAJIyuQcg6ggIAAICE0TUIWUdNAQAAQAroGoQsIygAAABICV2DkFUEBQAAACmjaxCyhpoCAAAAoMERFAAAAAANjqAAAAAAaHAEBQAAAECDIygAAAAAGhxBAQAAANDgCAoAAACABkdQAAAAADQ4ggIAAACgwREUAAAAAA2OoAAAAABocAQFAAAAQIMjKAAAAAAaHEEBAAAA0OAICgAAAIAGl5mgwBgzxRjzT8aYF4wx+40xm40x3zbGTAixj0eNMbbCnyPLbHemMeYuY8xOY8w+Y8wmY8yNxphx8X1CAAAAIJsOq/YJSJIx5nRJT0iaKOlHkjZKOl/SIkmXGWO6rbUvhdjljWWef6vEsbskPSzpcEl3S9oq6VJJfyOpxxjTY63dH+LYAAAAQE3JRFAg6XvKBQQLrbW3ek8aY74l6TpJ35T0maA7s9Z+Pcj7jDHvkbRc0nhJH7fW3p9/vknSXZKuyh9/cdBjAwAAALWm6ulDxpjTJM2WtFnSd4te/pqk1yXNN8YclcDhPyxpuqTHvIBAkqy1ByT9Zf6vnzHGmASODQAAAGRCFu4UXJp/fCi/GH+HtXbMGNOnXNBwgaTeIDs0xsyT1Cbpd5KekfRwmRQg79gPFr9grX3OGDMgqVPSaZKeDXDctWVemhbkvAEAAIBqqPqdAkln5B8Hyrw+mH/sDLHPf5d0k6R/kPR/JY0YY/4kpWMDAAAANSULQcGx+cdXyrzuPX9cgH39SNIVkqZIGqfcFfqb8tuuNMZ8NMFjy1p7Xqk/yhVOAwAAAJmUhfQhP14+v/V7o7X2lqKnNkn6K2PMC5JulfS/JP0kiWMDAADEZWDHmPqGRvXavrd09JGHqbu9VZ2Tmqt9WqhjWQgKvKvxx5Z5/Zii97m4Q9Itks4xxjRba8dSPDYAAEAgfUOjWtI7qNXDuw957fy2Fi3q6VB3e2sVzgz1LgvpQ5vyj+Xy9jvyj+Xy/n1Za/dJ8gKBwi5GiR8bAAAgiJVrRjR/WX/JgECSVg/v1vxl/bprzdaUzwyNIAtBwSP5x9n5+QDvMMY0S+qW9IakJ10PYIw5Q9IE5QKD0YKXHs4/XlZim9OUCxa2SHrO9dgAAAB++oZG9eV7N+iAT8LyASvdcO969Q2NVn4jEFLVgwJr7bOSHpJ0qqTPFb18o3JX9v/FWvu696QxZpox5qA2n8aY04wxk4v3b4xpVW5AmST9u7W2cKrxz5VrWXqRMeaPC7ZpknRz/q/ft9ZSUwAAABKzpHfQNyDwHLDS0t5B/zcCIWShpkCSPivpCUlLjTE9yi3UuyRdolzqzl8Xvf+Z/GPhULGLJN1hjPm5cjMFdkuaKuljytUM/FLvDiSTJFlr3zbGXKvcHYO7jTF3SxqR1CPpA5L6lKtFAAAASMTAjrGyKUPl9A/v1sCOMYqPEZuq3ymQ3rlb8AFJP1QuGPiipNMlLZV0obX2pQC7WSvpTkkTJV2V38dlkjZIWiip21r7colj90uapVw709mSrlMuiPiGpI+UGXoGAAAQC9dUIFKIEKes3CmQtXarpGsDvteUeG6DpP/heOynJX3SZVsAAIAoXtv3lv+bYtwOKCUTdwoAAAAa1dFHul2jdd0OKIWgAAAAoIpc5w4wrwBxIigAAACoos5JzTq/rSXUNl1tLRQZI1YEBQAAAFW2qKdDTYdUTJbWZKSFPR3+bwRCICgAAACosu72Vt00Z4ZvYNBkpMVzZpI6hNhRoQIAAJAB82ZN1ZQJ47W0d1D9JeYWdLW1aGFPBwEBEkFQAAAAkBHd7a3qbm/VwI4x9Q2N6rV9b+noIw9Td3srNQRIFEEBAABAxnROaiYIQKqoKQAAAAAaHEEBAAAA0OAICgAAAIAGR00BUAMoOAMAAEkiKAAyrG9oVEt6B7W6RGu689tatIjWdIiAYBMA4CEoADJq5ZoRffneDTpgS7++eni35i/r1+I5MzV31snpnhxqGsEmAKAYNQVABvUNjVYMCDwHrHTDvevVNzSazomh5q1cM6L5y/pLBgTSu8HmXWu2pnxmAIBq4k4BkEFLegd9AwLPASst7R2sypVd0k9qS9hgc/KEcdwxAIAGQVAAZMzAjrGyV3HL6R/erYEdY6ktyEk/qU21EmwCANJH+hCQMa6pQGmlEJF+UpuiBJsAgPpHUABkzGv73kp1uzCodahdWQ82AQDVRVAAZMzRR7pl9bluF4ZL+gmyIcvBJgCg+ggKgIxxzeFOOveb9JPaluVgEwBQfQQFQMZ0TmrW+W0tobbpamtJvMiY9JPaltVgEwCQDQQFQAYt6ulQkwn23iYjLezpSPaERPpJrctqsAkAyAaCAiCDuttbddOcGb6BQZORFs+ZmcrVXNJPal8Wg00AQDYQFAAZNW/WVK1Y0KWuMld3u9patGJBl+bOOjmV8yH9pPZlMdgEAGQDl/CADOtub1V3e2smJgd76Sdhio1JPwkmzZ/vvFlTNWXCeC3tHVR/iZ9lV1uLFjJ8DgAaDkEBUAM6JzVnYnG9qKdD85f1B2pLSvqJv2pNhs5SsAkAyAaCAgCBeeknfgPMSD/xt3LNSMXv0ZsMvXjOzMRSxLISbAIAqo+gAEAopJ9EF3Yy9OQJ4/g+AQCJIigAEBrpJ9G4TIYmKAAAJImgAIAz0k/CizIZmu8aAJAUWpICQIqYDA0AyCKCAgBIEZOhAQBZRFAAACliMjQAIIsICgAgRUyGBgBkEUEBAKTImwwdBpOhAQBJIygAgJQt6ulQkwn2XiZDAwDSQFAAACnzJkP7BQZMhgYApIXKNQCoAiZDAwCyhKAAAKqEydAAgKwgKACAKmMyNACg2qgpAAAAABocQQEAAADQ4EgfApAacucBAMgmggIAiesbGtWS3kGtLtFl5/y2Fi2iyw4AAFWVqfQhY8wUY8w/GWNeMMbsN8ZsNsZ82xgzIeD2Rxlj/psx5n8bYzYaY143xowZY35pjPmiMea9ZbazFf48Ge+nBBrLyjUjmr+sv2RAIEmrh3dr/rJ+3bVma8pnBgAAPJm5U2CMOV3SE5ImSvqRpI2Szpe0SNJlxphua+1LPrv5kKQ7Je2W9Iik+yS1SLpC0t9LmmOM6bHW7iux7RZJPyzx/LbwnwaAlLtD8OV7N+iArfy+A1a64d71mjxhHHcMAACogswEBZK+p1xAsNBae6v3pDHmW5Kuk/RNSZ/x2ceLkq6W9H+stb8r2EezpEcl/b6kz0n6hxLbbrbWfj3C+QMosqR30Dcg8Byw0tLeQYICAACqIBPpQ8aY0yTNlrRZ0neLXv6apNclzTfGHFVpP9baX1tr/7UwIMg/P6Z3A4GL4zhnAJUN7BgrmzJUTv/wbg3sGEvojAAAQDlZuVNwaf7xIWvtgcIXrLVjxpg+5YKGCyT1Oh7jzfzjW2VeP84Y86eSTpT0iqS11tpQ9QTGmLVlXpoWZj9AFoXtHNQ3NOp0nL6h0UQ7EtEBCQCAQ2UlKDgj/zhQ5vVB5YKCTrkHBX+af3ywzOtnS1pW+IQx5ilJ8621GxyPCdQ8185Br+0rF39X5rqdHzogAQBQXibShyQdm398pczr3vPHuezcGPN5SZdJ+rWkfyrxlm9J6pZ0gqRmSbMk3a1coPCwMWZykONYa88r9Ue5ommg5kTpHHT0kW7XHFy3q4QOSAAAVJaVOwV+TP4xYMliwYbGzJH0beWKkK+y1r5Z/B5r7ReLnvqlpE8aY+6WdJWkLylX7IwaQ6qIu6idg1yvusd9tZ4OSAAA+MtKUODdCTi2zOvHFL0vEGPMlZL+XdJOSZdYa58LeV7fVy4ouCjkdqgyUkWii9o5qHNSs85vawlVbNzV1hJ70EYHJAAA/GUlfWhT/rGzzOsd+cdyNQeHMMZ8UtL/kbRD0oettZt8NillV/6xYtcjZAupItHF1TloUU+HmkyZDYo0GWlhT4f/G0OgAxIAAMFkJSh4JP842xhz0DnlZwx0S3pDUqBuQMaY/yrp3yS9oFxAMOh4XhfkH8PeYUCVhE0Vce2QU++idA4q1N3eqpvmzPANDJqMtHjOzERSh9LcDgCAWpWJoMBa+6ykhySdqtxwsUI3Knel/l+sta97TxpjphljDmn1aYy5RtIKSSOSLvJLGTLGnFtq/oExZqZyA9Ok3JRk1ACXVBEcKs7OQfNmTdWKBV3qamspuU1XW4tWLOjS3FknOx0z7PkkuR0AALUqKzUFkvRZSU9IWmqM6ZH0jKQuSZcolzb010Xvfyb/+M41SGPMJcp1F2pS7u7DtcYcconyZWvttwv+vlDSHGPMw5K2Stqv3FyByyS9R9IPlLvrgIyLkipC8fHBXDsA7RzbX/L57vZWdbe3pl74naUOSAAAZFlm/s9nrX3WGPMBSd9QbkH+MUnbJS2VdKO1Nshq7xS9e/fjT8u8Z4ty3Yg89ylXyDxTuSFqR0p6SdJPJP3AWnt/yI+CKsnqsKysqrRAd03j+fXWPRVf75zUnOp3nZUOSAAAZF1mggJJstZulXRtwPcecgvAWvtDST8Mecz7lAsMUONIFQkmaGemGZOP1YbnQzX80obnX83UnZesdEACACDrMlFTAMSBVBF/YToznXNyuQ7BlWWtSLfaHZAAAKgFBAWoG6SKVBa2M9Mbbx5wOk7W7rxUuwMSAAC1gKAAdcNLFQmjkVJFwnZmWhOyaNuTxTsv1eyABABALcje/72BCBb1dGj+sv5Ai99GShVx6cy0Zfdep2Nl9Up7tTogAQBQCwgKUFe8VBG/NJlGSxVxzfOf2HxE2TajpUw/Md3uQi7S7oAEAEAtIChA3Zk3a6qmTBivpb2D6i9xdbyrrUUL8x12GoVrnv/bQfON8sK9GwAAZAVBAeoSqSIHc83zf+n134V6/8YXxzLVkhQAAARDUIC6RqpITpp3RbIyDI6AEACA4AgKgJBqcbH5q5HKk4ZLmTJhnLbteSP0dtVuSRp0OBsAAHgXQQEQUK0uNr35BGE0GemSM07QiidHQh+vmi1JV64ZqVhk7g1nWzxnJu1HAQAowJwCIIAwk4CzJsx8As/iOTM1/8JTnY5XrcAo7HC2rE1eBgCgmrhTAPgIu9icPGFcZu4YuMwnkKRzph73zjC4MNuHGQYXdxpW2OFsS3sHM/NzAgCg2ggKAB+1tNgsXmjvHNvntB+vWDiJYXBJpGG5BD/9w7vplAQAQB5BAVBBLSw2B3aMacWqzXpk4y5tezl8YXApXrFw3MPgksr5d00FykqnJAAAqo2gAKggy4vNSlfcoyosFo5rGFySaViuHY+q3SkJAICsICgAKsjqYtPvintUxYvxOIbBJZmG5drxyNvO9XPVYntaAABKISgAKoi62CwU1wIy6BV3V5WKhV2HwSWdhjX5uHGhz0mSxr/3PZp7+6rQ9Q212p4WAIByCAqAClwXdoXbxb2AdGkxGlTQYuGwkkrDipJCdVrrUU71DcxCAADUI+YUABV4bTnDKLzSHvd8A9cWo0EELRZ2kUQalt93W4kx0vDo66FnGjALAQBQrwgKAB+LejrUZIK9t/BKexILyKQWmV1tLVqxoCuxK9txpmFJ0VKomox06vFHKeimXn2D5FYXEcbAjjEt7xvWrb2DWt43rIEdY6G2BwDAFelDgI+wbTlPaD5Cy/uGdccvhmMvrI2jgPn8Uyeo5aj3atKxR+rU448KVdvgWhcRRxpWIdcUqq62Fs05d7Kuv2dDqO36h3frod++mFhdBDUKAIBqIygAAgjSlvPSaRN197pt+st71jsdI8gC0vWKe6HVm/e888/n51Odkl60xjkd2TWF6h/nn6fZ7z9Ry/uGQ28rSfeu2+a0nV9dBDUKAIAsICgAAqrUlvNXI3ti6Qjkt4CM+2pxkAVnXIvWuKYju6ZQPZ8f7OZ6t2UsgbqIJGc3AAAQBjUFQEidk5p1bXebvtDToWu727RrbH9sLUL9Fqwuhc9+KtU0xFkX4aVh+dVn+BU8Ry1adr3b0uy43d433y77WtI1CgAABEVQgLqVVtFmnC1CgyxYwxQ+B1VuwRn3onXerKlasaBLXWUCmyAFz1GLll2vtM85d4rTdrc9+qzm3r7qkIApyuwGAADiRvoQ6k6aRZtxtwgNcl5BC5/DKq5pSGrgWNTpyFGLll3rG2a//8TQ23lKpVglNbsBAAAX3ClAXYl7LoCfOFuEVpokXMzvirurws/j+tm+8/BQyeeL79xIOigNK+hnjzo7QnJvMxvlLs0BK11fkGKVxOwGAABcERSgblRjsFRcCzSXScLd7a1a+ekLdc3vnxLLOUgHfx7Xz3b/Uy8cElzMvX2VZt/ymG584Gn9w08HdOMDT2v2LY+VTKsJwnVR73Gtbwi6XTnWSl+97zeS4p/dAABAFAQFqBvVKNqMY4EWdZLwqccfFfkcPIWfJ8pn+0p+4ZvUnZs4ipZd6xui3qV5bvR1rVwzEvvsBgAAouCSE+pCUvnvfqIu0LraWrQwYo1DnIvEwn1F2e/w6Ov65n8+rWWP+w9wc223GWR2hN9361rf4G1384PP6LZHnwt8zp7vPfKsfv6Xl8Q2uwEAgKgIClAXqlW06VK0OmXCOC34YFuoScJxn0MpxQvOqPv9l1VbYp/oXMxvUe/VMfgt9oMMcCtl/OFu/wndsnuvBnaMxTa7AQCAqAgKUBeqWbQZdmF381XuqUJxnEO58yq14FzU06Gr7+iXy273v3Ug1Puj3LkpXtT3DY3qK/f9pmRAM7VlvD53yemaN2tq6OMUGtgxpt++8Irz9n1Do7q2uy1QJ6mgKWauHZ0AACAoQF1wzX/f++bbga4kVxK0RWjU2oE4ziHseXW3t+rys0/SA09tj+lMK4uj3abfBOaR3Xt1/T0b9P2fP6e/u/Ks0D+PSi1vw/AC0jjSoNJswwsAqE8EBagLrgue2x599pDnXBZRcSzsovI7h1KCnNcXLu1ILSiIeucmaAcqKVf3cPWyft1cMDvAj1/AEUZhIBtldoPfOZWakQAAQDGCAtSFuPLqJfdFVFz57VFUOgdJTqklnZOaNbVlvEZ27431XEuJ2s0p7HRpG6LIOUzAEUSp44WtbQjbhjdsMTcAoHEQFKBuRM2rLxRlEeUt6rwF+IpVW/SrrXv0m+dfPeS9SaV2lFtcugYhn7vkdF1/z4aop+UryvfgOl06aJFz2ICjkri6CLm04SUoAACUwpwC1I2og6WKucwyKDWoa8WTW0oGBFL8E5aTMm/WVLW1hpuH0Bzyqn/UhXKUYXRekXM5rgFHKXF1EYrShhcAgGLcKUBdccmrryRMRxzXfPNaSe34uyvP0tXL+mUDdln6/CXtWvzgxsDvL7VQrpRjX/za5pdeD/uRDlKpyDmO6deeU2IaNpd2G146GwFAfSMoQN0pl1e/c2yf06CpIIuoqPnmWU7tKPweL595kn68fnvFhX6TkRZ8sE29G3cGDgiKux9V6qYz7cRmWUmbXoz3inelIuc4Wtd6hkdfj6XwN602vHQ2AoDGQFCAulWcV39ryFQgT5BFVBz55nFMWI5TpcVg85GHaazE99LV1qKZU44NNMnYe39x9yO/Oy4bYw4GPJWKnKMWQBeL4+6Q6zmF2Y7ORgDQOAgK0DCSWkTFmW8eR5/+OPgtBsf2vSUj6Yqz36eOiUe/k06ya2x/4GJvo1zK0AnNR7zTlWnn2D7d2T8S6A5D3CotzpO4Eh717lDS29HZCAAaC0EBGkZSi6g4883jTFNxFXQxaCX9eP0LWrGg653v6Cv3/SbwHRMr6TN3ri15xyFtfkXOcba8LRR1inPYcwpTzE1nIwBoLHQfQsPwFlFhBFlExbmQ3/tm9RfILotBye2OSRYCAhOgG1Df0KheeePNRI4fJahc1NMRuNtWmK5HdDYCgMZDUICGEmYRJUkzpxzr+544881ve/Q5zb19Vax3H8JwXQze/OBG/cevtiV0Vsn6sw+2VbzCvXLNiOYv64+9sNkTNagM0s2oVDF3JVE6GwEAahNBARpKd3urFnywLfD7lz0+7LvQiTtlopqzC1wXdbc9+qxTZ6csWPb4cNnvOu4pxqW4BpVesDI8WrkV62mtR2nFgq5QhcBpdTYCAGRHZoICY8wUY8w/GWNeMMbsN8ZsNsZ82xgzIeR+WvLbbc7v54X8fqckfWzUhqe2vRL4vUEGmLmkJQU57g33rk/9ymsjLuoqfddxTjEuxyWoDBOsuMxvSKOzEQAgWzIRFBhjTpe0VtK1klZLukXSc5IWSVpljDk+4H6Ol7Qqv92z+f2szu93rTHmtKSOjdqQVK502LSkIFwmKrsa2DGm5X3DWjeyJ5XjZU2p7zrOrlLluE5xdq37CCrtjkgAgOrLRFAg6XuSJkpaaK290lp7g7X2UuUW6GdI+mbA/fwvSZ2SbrHW9uT3c6VyC/yJ+eMkdWzUgKRyb+sYNAAAIABJREFUpbvbW3XTnBmxBwZJF2/2DY1q7u2rNPuWx3TjA0/rkU27EjtW1hV/166/K0F/BcIU/hZKowg4qaJ8AEB2VT0oyF+9ny1ps6TvFr38NUmvS5pvjKlYTZd/fX7+/V8revk7+f3/YeHdgriOjdqRZK70vFlTtWJBl7piTiVKKoXIy0lP+mp4LSn8rl1/Vz5y5iTf4DBs4W+htIqAk+psBADIpqoHBZIuzT8+ZK09UPiCtXZMUp+k8ZIu8NnPhZLGSerLb1e4nwOSHsr/9ZIEji1JMsasLfVH0rQg2yN5SedKd7e3auWnL9Q/zj/P6TilJJHnn0YBbS0q/K5df1cuPP34isFhV1tL6MLfcueY5HZB735FCXAAANmRhaqwM/KPA2VeH1Tuan6npN6I+1F+P3EfGzUirVzp519+w+k4pSRRvJlGAW0tKvyuo/yudE5qVnd7qwZ2jKlvaFSv7XvrnanPUVNs0iwCnjdrqqZMGK+lvYPqL3FHqautRQt7OggIAKAOZCEo8BrBl2sJ4z1/XAL7ievYkiRrbcnLw/m7BecG2QfcBF18JT0F1hPn1f24F1xpFNDWqsLv2uV3ZWLzEQf9vXNSc+x59mkXAXe3tyYW4AAAsiMLQYEf7+Z11OuaLvuJ69hISN/QqJb0DpZcuJ3f1qJFJa5iLurp0Pxl/YGulLvmSg/ujKc4OIniTQZMlVbquw7zuyJJO8f2a/Ytj5X93YtDWoFtqeMSBABA/cpCTYF3Nb7c6Nhjit4X537iOjaqwK9QttwQsKRzpfuGRvXAU9tDbVPu+EkUb9bCLILpJzYH7uLjaY6QZlXuu/Z+V8KeS1ID6LzWsVNbxife5QgA0FiycKdgU/6xs8zr3v/NyuX9R9lPXMdGyoIWynqDqSZPGHfQ4j7JXOklvYORby0lWbyZ1QFTl5xxgi7qPOGdtJSVa0Z8f8ZG0hVnv0+fv7Rdu8b2h7qq7/H7rufNmqrlfZu18cVwd3/K/e65qHRHrBKKgAEAQWVhdfBI/nG2MaapsAuQMaZZUrekNyQ96bOfJ/Pv6zbGNBd2IDLGNClXMFx4vDiPjZS5DG8qXhglkSsdR75+UsWb3uf89cjLse43Ll/+2PSDvvewgVvnpGbdNGdGqK5KQb7rgR1joQMCT7nfvTCCBEelUAQMAAij6kGBtfZZY8xDyi3aPyfp1oKXb5R0lKTbrbWve08aY6blt91YsJ/XjDErJH1K0tclfbFgP5+XdKqk/2etfS7KsVF9UYY3lSs+jitX2jVff9qJR2verKmJFG+6XmVOU7mc97CBm18gcUrLeM1qa9EJzUdIshp/+GEa2DGmE5qPKPu9R63BqPS75ydM61gj6apzp+j9k4+hCBgAEFrVg4K8z0p6QtJSY0yPpGckdSk3U2BA0l8Xvf+Z/GNxWu1fSbpY0l8YY86RtFrSdEkfl7RTuYV/1GOjyqIMb0p6oeSar/9HM96na7vbYj4b96vMaTLyz3kPE7hVCiR2je3Xkt5B3b122yHblSsOjqMGw/V3L8wdMStp6569+vu5Z4c+DgAAmQgK8lfsPyDpG5Iuk/QxSdslLZV0o7U20CVOa+1LxpgLlZtGfKWkD0l6SdJySX9jrT1kJRDXsZGetIY3uUizh7yfRh9QVhxI+AVIXnHw4jkzDxosFsfPxuV3L+47YgAAVJKJoECSrLVbJV0b8L1lG2/kF/GL8n9iPzaqL0sL72Jp95CvJO4BZR0Tj9Lgzvgz6ayi5937iVKYHsd5ufzuZfmOGACg/mShJSkQSpYW3sW8HvJhJDGLIO4BZV1tLfqvXafEtr9i3hXupLgUpntcfqbFXH73snxHDABQfwgKUHOqtfD2esTf2juo5X3DZRexi3o6fGcgeJLqIR/ngDLvHJNebCY1VC1KGo4nzM+0mOvvXpbviAEA6g//90BNSmMqsSfs1GRv4JVfukqSPeTjWsAXnmOSV/Il93P260wURxpO0J9psSi/e1m8IxZn+14AQLYQFKAmpbXwdi1OTXI4WhBxXC0uPsek06/CnnPQYC2uNBy/n2kxI+nP/6DT+Xvz7oiFucuRRCqaFD4wBgDUHoIC1KykF95RpyYnMRwtKNfPfM2Fp+jU1qNKnqPLIjWMMOccJliLMw2n8Ge6YtVmPbJpl7bteaPk9lbSt346oMeHRp0XzWneESvHNTAGANQWggLUtCQX3nFMTZbiHY4WlOtV5hs/flbF94RZpCYlbLB205wZTseptIjvnNSsv70yt98lvQP69k8HVe50Vg/v1tV39Ovmq8IvmqudihY1MAYA1A4KjVEXOic169ruNn2hp0PXdrfFUlQctTi12pIoePYWqa5Ft5UEzf0PG6zdu+75xArT+4ZGteRn5QMCj5X0l/es1+0/fzbUeUi5O2IrFnSpq8xn6Gpr0YoFXYlcpY/StQkAUFu4UwCUUA894pO6yhw2tz6oILn/rsHazVfN0C837449DSfsLIibfrJRE8a/1+mOQdqpaAxPA4DGQlAAlFAvPeKTqrvwFqk3P/iMbnv0uVjONUjuv2uwtvd3b8ceILnOgrg+QppNmqlo9RAYAwCCIygASqinHvFxXGUut+34w+P7vEEWyVGCtWu722INkFwXzbZC/UmW1EtgDAAIJnsrGCADstgjPiqXq8x+rSjPmHR0LOcWNIc/arBWGCD9x6+2aeP2XA3ItJOO0Sd+b3Ko7yfK4rcW0mzqKTAGAPjjv95ACVnqEV8tQVpRrtkcvaYgTA5/HMFaqUDnkU27dNujz4bquR918Zv1NJt6DIwBAOXRfagBDOwY0/K+Yd3aO6jlfcOZ6pCTZUl076kVQVtR2oitScMWOXvBWhiFwdrKNSOav6y/bLDn9dy/a81W3/1GXfxmPc0m6ncNAKgt3CmoY0whjabaPeKrKWxXHReuRc6uA73i7rkfdZhbLaTZZGF4GgAgHdwpqFNRr4hydyGnmj3iq8W1q47fTRUjafaZk/S1K87UQ9ddpJWfvtApkAo6K6E4WEui5/6ing7fz11OLQSRrt81AKD2ZP9SFUKLckWUuwuHqkaP+Gpy7apz9QWnaGDHWKytT8sJ22o1qZ773e2tWnzVDF1/z4ZQ+66lNJuk2toCALKFoKAOuVwR7W5vDVRYOn9ZvxbPmVlXV8aDSrNHfDW55rpPbD5Cf3vlWakFT2GCtSR77s+bNVUv731TN/1kY6B91mKaTaMFxgDQiAgK6ozrFVG/gMATNN8atStqK8q0g6cgx0u65/6nP3y6jht/uG64d0PF4utaT7NplMAYABoRQUGdcb0i+t1HnnW6u4D6U4+tKOPsuV/uajlpNgCAWkZQUGdcr4iO7N4b6v21MHwJbupxRkNS8w08hfU2pNkAAGoRQUGdSbPNYdaHL9WaLC0k660VZdRAJ2y9DWk2AIBaQ1BQZ9JMTcj68KVaUekK9NSW8Tq/rUXvf98xqQYJQWc0GEmXz3yfTmg+IpXziiIr8w0AAMgi5hTUGZcppKccP97pWLUwfCnr/OZJjOzeq7vXbtONDzyt2bc8prm3r3KuGwnLb0aDJFlJ9z/1Qurn5iJL8w0AAMgagoI6tKinw3fh42ky0mcvPt3pOFwNjSboFehCfkPn4tbd3qqVn75QD113ka44+6SKg7rSPjcXYYfRRZlvAABALeFSbx0KmvrhXRGdO+tk3bPu+boqLK0FYa5AF6pGmsqusf36z/Xb5Xe61U6hCVKXkZX5BgAAZAlBQZ0K2x6x3gpLs87lCnShtNvCug7ES4vLJO4szDcAACArCArqWJgromHvLpA6FE0cufdptYWNkkKTxtXyJCdxxznfAACALOP/XA0gaHtEhi+lJ64ryWmkqWQ5hSbpzkD1OMgNAIBSCApwEIYvheP6PcV1JdkluAh7zllOoUk6rakeB7kBAFAKQQFKYvhSZS457IXiupIcJrhwPeesptCkldZEvQ0AoBHQkhQIyW+2QJDWnC7zJEoJGlxEOefJx41zOrexhO8URElrCsN1vgEAALWEOwVACHHmsIe5Al1K0DQV13OudGchiG//bEDnnTIhsUVy1LSmMGlU1NsAAOodQQEQQpw57EE7PpUSJk3F5Zy37dnrdF6l9lXq88dRs+KanrRzbL/m3r4qdBoV9TYAgHpGUAAE5JrDfvODz2j84YeVXED6XYEuJUyaius5rx7e7TuoLOi+CnP4o9ZiFHK9Kn/nk1vKfrYg7UuptwEA1COCAiAg1xz22x597qC/Fy9+i69A//b5V7Vmy25teWnvIfsKm6bies5xBASF59A5qTn2eQIunYEk/89W7anMAABUA0EBEFBcLTbLLX6Lr0DHkaaShcm6r+17K7F5AlHrMiqdx9/++Gk9+OcXxbtjAAAyiqAAdSXJfO84W2wGWfzGkaaShcm6Rx95WOi6hpsf3Kj7P/9B3/cGrcswRrIhA4eNL45pae8gLUYBAA2h+isGIAZx5qqXE3cqicswrbCykP4y+bhxoVN81m97RZff+gt9+aPTfT+DV5dx84MbtX7bK4e8nuvSdLRWPDkS6hwk6ZafJttBCQCArGBOAWpeHHMDgohrtkAhrxA3KUmccxhdbS16/uU3nLb9zfOvBvq5eQFhqYDgrMnHaGFPhyY2H+l0Dla5wA0AgHpHUICaFjZX3bXw1rOop8N3iFVYUc/JT5hzNjF+Nq9tapS6Br+fm19A6AUWgzvdA6+kAzcAALKAoAA1zaUHfxRBp9uGkXQxcJiJvDfPmRnLnQWjd9umRq1rKPdzCxMQPrB+e6RzSDpwAwCg2ggKULNce/BHveo7b9ZUrVjQpa6Y0nLSKAb2O+euthatWNClubNOjuVuiJV097pt6hsajSUfv9TPLUxAaK3UHOF7zkIXJwAAkkShMWqW69Vbr29+FKWm2+59823d9uizTvtKQ9CJvIE7+uQfgwwCc5knUKzw5+YSEI5FWNhnoYsTAABJ4v90qFmuV2/jvOpb3DZ07ZY9oRaruc446U7HDdLq1G/S8rQTm7Vpx5hvm0+vJuD6y6bpl5t3R5onUPhzcw0ILz6jVY9uCr8t3YcAAPWOoAA1y/XqbZJXfcMM0/IKcZOcrRBFpTsLX7nvN4H7/h+w0v9ePaI/mD5JP316h/O05MKfm2tgd97UFr34yn5tfDF4Clk1AjcAANKWmaDAGPP7kr4i6QJJR0oakvRPkm611r4dcB+TJc2R9DFJ0yWdJOk1Sesk3WatvbfENhdLeqTCbm+21t4Q/JMgLa5Xb5OeCxAk9abJSAs+2Jb4bIU4lJq0HDZ1Z8tLe7Xlpb2RzqPwu4gSEH718jNDB24AANS7TAQFxpiPS7pH0j5JKyXtlnSFpFskdUv6ZMBdfUHS9ZKGlVvovyjpFOUChT8wxtxirf2LMtv+XNKjJZ5/POCxkTKvB3/W0nX8Um+62lo0c8qxWvb4cNmFaWE+/txZJyd6vmFVoxNP8c8tSkDYOak5cODmdVACAKDeVT0oMMYcI+kHkt6WdLG19pf5578q6WFJf2KM+S/W2n8PsLvV+X38vOgY0yU9Kek6Y8y/WmvXltj2UWvt1yN8FFSBS7pOGiql3uwa2///27v34DvK+o7j709QIWECJEGhJUICJAYVcBIgSkYIxAtUQSeAOCJFuZSxQkDpjNRbpXUUx3IRxqKIGIpSomhhtIhYkItJRQhFgQYCmBAQKoQoBJMglG//ePbI4eSc3+/snj23335eM2dOsnv2eXaf8/z27Hf3ubS1z7X2+DtNGt+3C9Nm+9/rkXiafW+dBoTtBG6LBuRJjZmZWS/0PSgAjgReDfxrLSAAiIhNkj4N3AB8BBg1KGjWPChbvkLSEuAkYD7QLCiwIZSnuU4/7vo269T76avvyT23Qq/3uzZLcLOL7p0nT+jZfoz0vXUaELY7GpOZmVkVDEJQcHD2fl2TdbcAG4D9JW0ZEc91kM/z2Xur25y7SzoF2IbU7OjWiMg105WkVsHGrDzpWD7DdNe3k7kVenWhuuT2NSMGWWvWddY3oF2jfW9lBYTtjMZkZmY21g1CUPC67H1l44qIeEHSKuANwK7AiiIZZE2UjiANqX59i48dk73qt/s+cFJE/L5IvtY7w3LXt59zK7SbTzuzBJftI/N34zUTt8z9vQ1TQGhmZjbIBiEo2DZ7f7rF+try7YokLknAJcAOwL9ERGNg8SRwJvAfwGrSyEf7AF8gBRI7SjogIl4cLa+ImNNiH5YDs4vsv+Uz6Hd9B2FuhZHkmSW4TBNeuQUfnje90LbDEhCamZkNslKCAkmrSaP8tOs7EfHBdpPP3oteqpxDGr3oVmCzkYci4l7g3rpFzwLXSVoG3EUa/egw4JqC+Zv92SDOrVBTpGlTWco4vkEPCM3MzAZZWVcaD5GGE23XY3X/rj0J2LbZB0lt/Os/1zZJXwY+Ruqb8K48fRIi4hlJVwCfAg7AQYGVYBDnVqgp2rRplykTSp2DwMzMzHqvlKAgIhZ0sPn9pOY6M2kYFUjSK4DppM7Bv8mTqKTzgNNJ8xW8OyKKXLU8mb1vXWBbs80M6twKULyJ0pGzp/LON+7456Y731v+aK7OyJ4x2MzMrP/G9XsHSHMRABzSZN0BwARgWbt3+ZV8lRQQ/JT0hKDobcw3Z++5AhKzkZy2YAbjNPrnoLdzK3TStGnmDhP58LzpnLpgBl9cuOdAHp+ZmZm1NghBwVXAWuD9kvapLZS0FfD57L8X1W8gaYKkWZJ2blgu4GLgb4EfA4dHxMaRMpc0T9Jm5SDpg8DRwJ+A7+Y+KrMWakNpjnbh3Ou5Fcpq2lT28a383Xq+tXQVF97wAN9auoqVv1tfaD/NzMystb6PPpS13T+JFBzcJOlKYB1wOGm40quAJQ2b7UdqFnQzaTKyms8CJwIbSZ2Ez0xxwsvcFRFX1/3/O8C4rGPxo6TRh/bN8ngBODkiVnd2lGYvN4hDaZbZtKmM4xtpArX9pk/mNA81amZmVpq+BwUAEXG1pANJnXqPIF2YP0gaLeiCiGh35KHamIbjgb9v8ZnLgPqg4CLgbaRRhrYnjXb0W2AxcH5E/Kr9IzFr3yAOpdnpLMH1Ojm+0SZQ++WqdRz7zds4e+FevG/f146+s2ZmZjYitX+9bUVJWj579uzZy5e3mvDYbHCMdkEOLzX96cYF+dIH1+YKTC4/Ya6fGJiZmQFz5szhzjvvvLPV3FkjGYQ+BWY2QI7ed2cuP2Euc6dPbrp+7vTJXH7C3K7doc8zgdqLARfc8EBX9sPMzKxKBqL5kJkNln41bSoygdptq9ax8nfrPaypmZlZBxwUmFlL7c4SXFbwUHQCtaUPrnVQYGZm1gEHBWZWWNkjBBWdQK3odmZmZpa4T4GZFbLk9jUc+83bWjb3qY0Q9N3bH2k7zU4mUDMzM7PiHBSYWW5LH1w76ghFkDoCn/mDX7fdLKisCdTMzMwsHwcFZpZbt0YIqk2glkerCdTMzMysfX7mbma5dDJCEDBqh+QyJ1AzMzOz9jgoMLNcio4QdOJld7Bm3YbNljd2SJ63+/Z8ceGebU+g5qZDZmZmnXPzITPLpehIP80CAmjeIbnfE6iZmZlVjZ8UmFku3Rjpp9YheadJ41/2xKAfE6iZmZlVkYMCM8ulW811ah2SG9NvdwI1MzMzK87Nh8wslyIjBLWrvkOymZmZ9Y6DAjPL7bQFMxin7qRdtCOzmZmZFeegwMxyq40Q1I3AoGhHZjMzMyvOQYGZFTLaCEG7TJlQKN1udGQ2MzOzkfnX18wKG2mEIIB3nHdLoTTNzMystxwUmFnHWo0QtN/0yblmP547fbJHGjIzM+sDNx8ys67J0yF5nGDRghnd3SEzMzNrykGBmXVNux2SxwnOXriXmw6ZmZn1iZsPmVlXHb3vzkydNIELbniA25o0JZo7fTKLFsxwQGBmZtZHDgrMrOtG6pDsPgRmZmb956DAzHqmVYdkMzMz6y/3KTAzMzMzqzgHBWZmZmZmFeegwMzMzMys4hwUmJmZmZlVnIMCMzMzM7OKc1BgZmZmZlZxDgrMzMzMzCrOQYGZmZmZWcU5KDAzMzMzqzgHBWZmZmZmFeegwMzMzMys4hwUmJmZmZlVnIMCMzMzM7OKU0T0ex/GPElPjR8/fvIee+zR710xMzMzszFqxYoVbNy4cV1ETMm7rYOCHpC0CtgGWJ1z01nZ+32l7pCBy7abXLbd47LtDpdr97hsu8dl2z3DXLbTgGciYnreDR0UDDBJywEiYk6/92Wscdl2j8u2e1y23eFy7R6Xbfe4bLunqmXrPgVmZmZmZhXnoMDMzMzMrOIcFJiZmZmZVZyDAjMzMzOzinNQYGZmZmZWcR59yMzMzMys4vykwMzMzMys4hwUmJmZmZlVnIMCMzMzM7OKc1BgZmZmZlZxDgrMzMzMzCrOQYGZmZmZWcU5KDAzMzMzqzgHBT0maX9J10paJ2mDpF9LOl3SFjnTiRFevxhhu3dLuknS05KelXSbpOM6P7L+K6NsJe0k6VRJP5a0WtJzkp6S9FNJC1tsM3+U7+Ps8o6yeyRNlXSppMey414t6XxJk3KmMznbrlZ+j2XpTu123oOq0+OTtLWkYyRdIek+SX+UtF7SHZLOkPSqFtsVOk8MizLqTXY+HKmctmqx3eslfVfSE5I2Sbpf0lmSxpd3hP1TQp0d7bxYe722YbuxXmePlHShpFslPZMd17cLppX7OxrL9baMspU0RdKJkv5d0oOSNipdL/1c0gmSNrtuljRtlHp7ZXlH2V2v6PcOVImk9wDfBzYBS4B1wGHAecA84KicST4MLG6y/NEW+Z8CXAg8BXwb+BNwJLBY0p4R8Xc58x8YJZbtqcAngFXAz4D/BXYBFgJvk3ReRHy8xbY3Azc1Wf7zNvPuG0m7AcuA1wDXAPcB+wGnAYdImhcRT7WRzpQsnZnAjcCVwCzgw8C7JL0lIn7TjbwHVUnH91bS3+w6Ur28GphMquP/DCyUtCAiNjXZNtd5Ylh0od6c1WL5C03ynkuq368ErgIeAQ4GPgssyL6L53LkPVBKKtvVtC7TPUnn1Hsj4pEm68dknc18GtgbeJZ0PLOKJFLkOxrr9ZZyyvYo4CLgcdK5dg2wA6m+XgIcKumoaD7z769I5+ZG9xTYj/6ICL968AK2AZ4AngP2qVu+FekPO4D350gvgJtyfH4a6YL5KWBa3fJJwINZem/pdzn1u2xJf/gHNlm+B/B0ltachnXzs+Wf63dZdFCGP8mO4dSG5edmy7/WZjpfzz5/bsPyRdny67qV96C+yjg+4E3AMcCrGpZPBJZn6ZzRZLtc54lhepVYZ29KP4Vt57sF8D9ZHofXLR9HutAK4Mx+l88glO0I6f9bls6iJuvGbJ3Nju8gYAagut+Ob3f7O6pIve24bElB0mHAuIblO5IChACOaFg3LVu+uN9l0HEZ9nsHqvICjs8qzWVN1h2crbs5R3p5g4J/zLY5K8++DcOr7LIdIZ+Lm118MeRBAbBrtv+rmpwIJ5LuuvwR2HqUdLYGNmSfn9iwblyWfgC7lp33oL56cXzAB7I8fthk3Zi8wCqzXMkfFLQ8p9Tt12pA/S6nfpdti/SnkG5QbQAmNVk/Jutsi7Ko/XbkvXDN/R2N9XpbVtmOkuYnszQvbFg+jTESFLhPQe8cnL1f12TdLaQT5P6StsyR5naSjpf0SUkflfTmgvn/uOEzw6YbZdvM89n7Zs0JMrtLOiX7Po6XNKPD/HqlVn7XR8SL9SsiYj2wFJgAjFS/AN4CjAeWZtvVp/MicH3234O6kPeg6sXxjVYv85wnhkXp5SrpaElnSvq4pENHOF+0PN9Eahq3ktTkcNd28x4w3a6zHwK2BL4XEb9v8ZmxWGfLVOQ7Guv1thdGO9f+paSTs3p7sqS9erVjZXGfgt55Xfa+snFFRLwgaRXwBtIf5Io209wb+Gb9Akm/Ao6NiLtz5P+4pD8CUyVNiIgNbeY/KLpRti8jaRvgCNLdgOtbfOyY7FW/3feBk0b48RsELcsv8wDwDlI/gRs6TIcsnbLzHlS9OL7js/dmQTHkO08Mi26Ua2NnwCckfTQiriqQ98zs9VCbeQ+SbtfZE7P3r4/wmbFYZ8tU5Dsa6/W2qyS9Avjr7L+tzrVvz171290EHBcRa7q3d+Xxk4Le2TZ7f7rF+try7dpM71xSB9pXkx4X7ktqF7g3cKOknQrmv22L9YOs7LJ9GUkidTDaAbgoIhoDiyeBM0md5yaSvpNDgf8mBRI/bDZiwQApq/yKpNPV724AdLtungIcAtwFXNrkI3nPE8OizHK9htSGeCrpSdcs4IvZtkskHdrFvAdR145P0oGk8r03Ipa1+NhYrbNl8rm2984G3ghcGxE/aVi3AfgnYA6pn+Yk4EBSR+X5wA2Stu7drhY3yBcqAycb7qudIdZqrzxDYSl7j3Y+HBFnRMSyiFgbEc9GxB0RcRRpBJ7tgbwjCeXKv2yDVLZNnEMakeBWYLORhyLi3oj4UkTck30XayPiOtLJYBXpB+6wgnkPgrLqRpF0+love6Dw8SkNkXs+aYSsIyLi+cbPdOE8MSzaLteIOC8ifhQRv42ITRFxf0R8EjiD9Bv5hW7lPaQ6Ob6/yd5bPiWocJ0tk8+1JZK0iHQ+uA84tnF9RDwREZ+NiDsj4g/Z6xbS05rbgN156QnZQHPzoXweInWQatdjdf8e7U78Ng2fK+prpLvTBzQsf5p0Qt2WNAJRq/yf6TD/ogaybCV9GfgYqW/CuyLHcG0R8YykK4BPkb6Pa/Lm3yNllV+RdHr1d9EvXTk+Se8lNXd5AjgoGoZ5bUOr88Sw6EW9uYQ0pPGbJE2s6yfjOvvyz7VF0mRSndsIXF5gv4a9zpbJ59oekfRR4CukkZsWRMS6drfNmi9fAswl1duvdGcvy+OgIIeIWNDB5vcD+5BsvPgeAAAFG0lEQVTa6y2vX5G1VZtO6ryS98e90ZPZe+OjqvtJQcFM4L8a8v+L7POP9qs/wSCWraTzgNNJjwDfXbBsWn0fg+T+7H1mi/W1DtOt2qJ2kk5ZeQ+q0o9P0lHAFaQnBAdHxAOjbNLMMNTLkXS93kTEJknrSU0BtgZqQYHrbJL3+I4jdTC+LCL+UGC/hr3Olsnn2h6QdDrpxsA9pIDgiQLJDFW9dfOh3rkxez+kyboDSCMFLMtzJ7qF2mgDjRfAI+V/aMNnhk2pZavkq6SA4KekJwRFg6VW38cg+Vn2/o7Gvg+SJpKaP20ERptN9BfZ5+Zl29WnM470KLU+vzLzHlSlHp+kD5DGeH+MNJ9GkYAAhqNejqTr9UbS60gBwXpgbd2qlucbSbuSLroexmXb6KTs/eKC+zXsdbZMRb6jsV5vSyXpE6SA4C7S09giAQEMW73t95ioVXmRHs09SY4JtkgXs7OAnRuWz6bJGNHAXqQfrwA+0LBuOmN78rKyylbAN7JtrgW2aiP/eTSMFZ0t/yDwYrZf0/IeV4/LMO9EOLOAWU3SqU1edk7Dck9e1nnZHgf8H+nHZZc28s19nhimVxnlShqRbKcmaW9fd+64uGHdSJNAfY+xMQlUKXW2bv1bs+3uHiXfMV1nmxzXfEYYS5808/AsYLcSvqMxX29LLNvPZNveAUxuI6+5NEwsmS0/mHTdFcD+/S6Tdl7Kdtx6IGsHfBWpklwJrAMOJw0VdhXwvqj7QiTNJ90RuDki5tctX0yaefdG0jTlz5Eq9yGkP/xvACdHw5cr6VTgAlJgsAT4E3AkadSNcyJiaDtwlVi2/wB8jnSX5XxSGTW6KyKurttmNenEuow0tfpWpBEz9iM1WzopIhaXcZzdImk30v6/htT3YQXpRHcQ6XHy/hHxVN3nAyAi1JDOlCydmaT6+UvSbNDvIbV/3z8iHmrYJlfew6aMspV0EPCfpHp2KenvvtEfIuL8um0WU+A8MSxKKtcPkfoO3Ezq17QO2Bn4K1Lb6zuAt0dDcxdJc0nl+krS+WUNsIDUjHEpqalBp099+6as80Hd+stJN0kWRcSFI+S7mDFcZ+HPv1Xvzf67I/BOUqB/a7Zsbe23WNI00mAVD0fEtIZ0cp83K1BvOy5bSccBi0k3YC6keR+L1fW/6dmwo28gTYT4aLZ4L16aG+IzEfH54kfWQ/2OSqr2It1Vvhb4PenC825SR9Ytmnx2Pk1mdyRV+h+Q7vA/Q7pwfRz4IXV3AFrkfxjpB3A9acbD20lj6Pa9bAakbBdny0d6LW7Y5hOkZkaPZPluIl1gfAvYu9/lkqP8Xpvt8+NZnXqY1DFqszsltbJokc7kbLuH6+rmpcDUMvIexlenZUua8Gm0erm6YZvC54lheZVQrntmf/N3k26WPE8KDG4FTqXJ3b+6bV9PusO6lnTxuhI4Cxjf73IZhLKtWzcpOy9uALYbJc8q1NnPtft3zEsz5a5ukVbu8+ZYrrdllG0baTS7bjgB+BFpRuhns3JdQ7r5+tZ+l0uel58UmJmZmZlVnDsam5mZmZlVnIMCMzMzM7OKc1BgZmZmZlZxDgrMzMzMzCrOQYGZmZmZWcU5KDAzMzMzqzgHBWZmZmZmFeegwMzMzMys4hwUmJmZmZlVnIMCMzMzM7OKc1BgZmZmZlZxDgrMzMzMzCrOQYGZmZmZWcU5KDAzMzMzqzgHBWZmZmZmFeegwMzMzMys4hwUmJmZmZlV3P8D4zohyxYXmx4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 386
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y, _ = make_biclusters((200, 2), 2, noise=0.15, random_state=314, minval=0, maxval=1)\n",
    "plt.scatter(*X.T)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 240,
   "metadata": {},
   "outputs": [],
   "source": [
    "mu1 = np.array([-0.2, 1])\n",
    "mu2 = np.array([ 1, 0.3])\n",
    "mu3 = np.array([ 0, 0])\n",
    "mu = [mu1, mu2]\n",
    "mu = np.r_[mu]\n",
    "\n",
    "pi = np.array([0.5, 0.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 241,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 372
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.animation as animation\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "\n",
    "epsilons = np.arange(2, 0.0001, -0.005)\n",
    "\n",
    "nits = len(epsilons)\n",
    "\n",
    "def animate(i):\n",
    "    plt.cla()\n",
    "    i = i if i < nits else nits - 1\n",
    "    eps = epsilons[i]\n",
    "    D = ((X.reshape(-1, 1, 2) - mu) ** 2).sum(axis=-1)\n",
    "    D = np.exp(-D / eps) * pi[np.newaxis, :]\n",
    "    D = D / D.sum(axis=-1, keepdims=True)\n",
    "    sns.scatterplot(D[:, 0], D[:, 1])\n",
    "    plt.xlim(-0.01, 1.1)\n",
    "    plt.ylim(-0.01, 1.1)\n",
    "    #plt.title(f\"EM Iteration: {i}\")\n",
    "\n",
    "\n",
    "ani = animation.FuncAnimation(fig, animate, nits + 20, interval=300)\n",
    "ani.save(\"/Users/gerardoduran/Desktop/k-means-limit.gif\", fps=30, dpi=150, writer=\"imagemagick\")"
   ]
  }
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